SAITO Kazuyuki 斎藤和之

… Alternative Names

斉藤和之サイトウカズユキ

SAITO K. 斉藤和之

斎藤和之サイトウカズユキ

Less

Researcher Number	60004397
Affiliation (based on the past Project Information) *help	1995 – 2004: 東北大学, 大学院・理学研究科, 助教授 1995: Tohoku University Graduate School of Science Associate Prof, 大学院理学研究科, 助教授 1988 – 1994: 東北大学, 理学部, 助教授 1986: 東北大, 理学部, 助教授
Review Section/Research Field	Principal Investigator 解析学 / Global analysis Except Principal Investigator 解析学 / Global analysis / Geometry
Keywords	Principal Investigator ノイマン環 / C^-algebras / monotone complete C^-algebras / 因子環 / C^-環 / 単調完備C^-環 / 自己同型写像 / 作用素環 / Banach spaces / Fermion algebra … More / Grothendieck Space / automorphism groups / weakly compact operators / Type III-factors / 正規線形汎関数 / AW^-環 / フェルミ環 / 接合積 / ベクトル値測度 / Grothendieck空間 / 正値線形汎関数 / 絶対連続 / バナッハ空間 / フェルミC^-環 / グロタンディック空間 / 弱コンパクト作用素 / III型因子環 / quantum measures / operator algebras / outer automorphisms / AFD-factors / von Neumann algebras / automorphisms / C^_- 環 / 量子測度 / 外部自己同型写像 / AFD-因子環 / リー群 / 正則自己同型 / 複素有界領域 / ヴォルテラ型微分積分方程式 / 安定性 / 相空間 / 関数微分方程式 / 多変数フーリエ変換 / 補間定理 / ルベーグ空間 / 混合ノルム / 既約表現 / 正則完備化 / C^環 / 微分不等式 / Kdv方程式 / 非線形偏微分方程式 / マルチプライヤー / 多次元フーリエ解析 / 【C^】-力学系 / 【AW^】-環 / 【C^】環の正則完備化 / von Newmann環のJordan構造の一意的加法構造 / 【C^】-環のデデキント完備化 / Lebesgue測度 / テンソル積 / ナヴィア・ストークス方程式 / ハンケル作用素 / テープリッツ作用素 / フーリエ・マルチプライヤー / 平行移動不変作用素 / 解析的ハミルトン系 / 半線形楕円型偏微分方程式 / ソボレフの埋蔵定理 / マルチンコンパクト化 / ポテンシャル論 / C^ー環 … More Except Principal Investigator 退化楕円型偏微分作用素 / 固有値 / 結晶格子 / 量子エルゴード性 / 極大函数 / 作用素環 / C^-環 / 擬微分作用素 / 極小曲面 / 安定性 / CR多様体 / 反応拡散方程式系 / リヤプノフ函数 / 函数微分方程式 / large deviation / random walk / crystal lattice / describe geometric analysis / エントロピー関数 / 乱歩 / 磁場つき離散シュレディンガー作用素 / 大偏差理論 / 離散幾何解析 / 多面体 / 大偏差原理 / ランダム・ウォーク / 離散幾何解析学 / Central Limit Theorem / Harper Operator / Crystal Lattice / Discrete Laplacian / スペクトル幾何 / グラフ / 離散幾何学 / 格子振動 / グラフの調和写像 / 標準的実現 / アルバネーゼ写像 / ハーパー作用素 / 中心極限定理 / 離散的ラプラシアン / QUANTUM ERGODICITY / EIGENVALUES / SPECTRUM / ERGODICITY / ラプラシアン / スペクトラム / エルゴード性 / Navier-Stokes equation / Fourier transform / C^-algebra / minimal surface / degenerate elliptic operator / wavelet / maximal function / 多変数フーリエ交換 / C^-代数 / ハ-ル基底 / 非線形放物形方程式 / 非線形双曲形方程式 / ノイマン環 / ガボ-斜交系 / 多変数フーリエ変換 / C^一環 / 調和写像 / ガボー斜交系 / ナヴィエ・ストークス方程式 / フーリエ変換 / 退化楕円型偏微分作用業 / ウェーブレット / 極大関数 / Oyerator Algebras / Quantum Ergodiuty / Eigonvalue Problem / Global Analysis / エルゴード理論 / スペクトル幾何学 / 幾何解析 / 固有値問題 / 大域解析学 / Bloch functions / Wilson basis / Hypergeometric singularities / Non-resonance condition / Least energy solutions / Regular completion / Operating functions / Lyapunov function / 不確定性原理 / ベルヌ-イ・シフト / アプリオリ評価 / ポアンカレ写像 / ベルグマン計量 / 無条件基底 / アトム / 局所L^2評価 / ブロック函数 / ウィルソン基底 / 超幾何的特異性 / 非共鳴条件 / 最小エネルギー解 / 正則完備化環 / 作用函数 / リャプノフ函数 / graph theory / Index of Subfactor / Quantum Mechanics / Operator Algebra / 解析的接合積 / 可解格子模型 / 量子群 / 非可換微分幾何学 / Jones指数 / 因子環 / コンパクト作用素 / エルゴ-ト理論 / 指数理論 / 無理数回転群 / グラフ理論 / 指数 / 量子力学 / リー群 / チューブ領域 / 相空間 / 既約表現 / 原始イデアル / D加群 / 指標 / 補間思理 / 最大函数 / 多変数フーリエ解析 / 特異積分 / モレ-空間 / 楕円型偏微分作用素 / 接コ-シ-・リーマン作用素 / ベキ零リー群 / 集中現象 / 活性因子-抑制因子系 / 変分法 / 反応拡散系 / 拡散過程 / Hardy空間 / 接コ-シ-・リーマン方程式 / Morrey空間 / カ-ルソン測度 / 調和測度 / イノマン問題 / 平均曲率 / 得異摂動解 / 半線型楕円型方程式 / 退化した変分問題 / 反応拡散方程式素 / 多変数正則函数 / フェルミ因子環 / シュレデンガー作用素 / ウイルソン基底 / フーリエ・マルチプライヤー / マルチン境界 / 狭義擬凸領域 / シュレディンガ-作用素 / マルチプライヤ- / フ-リエ解析 / トレリ問題 / 点疑集解 / C^代数 / アトム分解 / 行列変数函数 / 不変微分作用素 Less

Monotone complete C^*-algebras and their automorphism groupsPrincipal Investigator
- Principal Investigator
  
  SAITO Kazuyuki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Commutative and Non-commutative Bloch Theory
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Meiji University
  Tohoku University
Fundamental Research of Discrete Geometric Analysis and Its Applications
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Automorphisms of operator algebras and quantum measuresPrincipal Investigator
- Principal Investigator
  
  SAITO Kazuyuki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
変分法とその反応拡散方程式系への応用
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
多様体上の退化楕円型擬微分方程式と多変数複素解析
- Principal Investigator
  
  新井仁之
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Harmonic Analysis and its Applications
- Principal Investigator
  
  IGARI Satoru
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
STUDY ON QUANTUM ERGODIC THEORY
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  TOHOKU UNIVERSITY
退化楕円型境界値問題の調和解析とその多変数複素解析への応用
- Principal Investigator
  
  新井仁之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学Principal Investigator
- Principal Investigator
  
  斎藤和之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
楕円型境界値問題と領域の幾何
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Study on Geometric Analysis
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  TOHOKU UNIVERSITY
ユークリッド空間,多様体上の調和解析とその応用
- Principal Investigator
  
  猪狩惺
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学Principal Investigator
- Principal Investigator
  
  斎藤和之
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Several Problems in Analysis
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1991 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY
調和解析と函数空間の研究
- Principal Investigator
  
  猪狩惺
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Co-Operative research of Recent Topics in Operator Algebras
- Principal Investigator
  
  SAITO Kichi-suke
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Niigata University
偏微分方程式の実および複素解析的研究
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
調和解析と函数空間の研究
- Principal Investigator
  
  猪狩惺
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学Principal Investigator
- Principal Investigator
  
  斎藤和之
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学Principal Investigator
- Principal Investigator
  
  斉藤和之
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University

All 2005 2004 2003 2002

All Journal Article

[Journal Article] Operators on σ-complete C^*-algebras2005
- Author(s)
  J.K.Brooks, K.Saito, J.D.M.Wright
- Journal Title
  
  Quartery Journal of Mathematics(Oxford) (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Operators on σ-complete C^*-algebras2005
- Author(s)
  斎藤和之(共著者JK.ブルックス, JDM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) (in press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Operator on σ-complete C^*algebras2005
- Author(s)
  斎藤和之(共著者J.K.ブルックス, J DM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) (出る予定)
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] When absolute continuity on C^*-algebras is automatically uniform2004
- Author(s)
  J.K.Brooks, K.Saito, J.D.M.Wright
- Journal Title
  
  Quartery Journal of Mathematics(Oxford) 55
  
  Pages: 31-40
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] When absolute continuity on C^*-algebra is automatically uniform2004
- Author(s)
  斎藤和之(共著者J.K.ブルシクス, J DM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) 55
  
  Pages: 31-40
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] When absolute continuity on C^*-algebras is automatically uniform2004
- Author(s)
  斎藤和之(共著者JK.ブルックス, JDM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) 55
  
  Pages: 31-40
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Operator algebras and a theorem of Dieudonne2003
- Author(s)
  J.K.Brooks, K.Saito, J.D.M.Wright
- Journal Title
  
  Rendiconti del Circolo Matematico di Palermo 52
  
  Pages: 5-14
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] operator algebras and a theorem of Dieudonne2003
- Author(s)
  斎藤和之(共著者JK.ブルックス, JDM.ライト)
- Journal Title
  
  Rendiconti del circolo Mathematico di Palermo 52
  
  Pages: 5-14
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] C^*-algebras which are Grothendieck Spaces2003
- Author(s)
  K.Saito, J.D.M.Wright
- Journal Title
  
  Rendiconti del Circolo Matematico di Palermo 52
  
  Pages: 141-144
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] C^*-algebras which are Grothendieck spaces2003
- Author(s)
  斎藤和之(共著者JDM.ライト)
- Journal Title
  
  Rendiconti del circolo Mathematico di Palermo 52
  
  Pages: 141-144
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] A bounded sequence of normal functionals has a subsequence which is nearly weakly convergent2002
- Author(s)
  J.K, Brooks, K.Saito, J.D.M.Wright
- Journal Title
  
  Journal of Mathematical Analysis and Applications 276
  
  Pages: 160-167
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Monotone completions of the Fermion algebra2002
- Author(s)
  K.Saito, J.D.M.Wright
- Journal Title
  
  Quartery Journal of Mathematics(Oxford) 52
  
  Pages: 365-370
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Monotone completions of the Fermion algebra2002
- Author(s)
  斎藤和之(共著者JDM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) 53
  
  Pages: 365-370
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] A bounded sequence of normal functionals has a subsequence which is nearly weakly convergent2002
- Author(s)
  斎藤和之(共著者JK.ブルックス, JDM.ライト)
- Journal Title
  
  Journal of Mathematical Analysis and Applications 276
  
  Pages: 160-167
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197

1. IGARI Satoru (50004289)

# of Collaborated Projects: 12 results

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2. TAKAGI Izumi (40154744)

# of Collaborated Projects: 9 results

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3. ARAI Hitoshi (10175953)

# of Collaborated Projects: 9 results

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4. KATO Junji (80004290)

# of Collaborated Projects: 6 results

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5. SHIMAKURA Norio (60025393)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. MASUDA Kyuya (10090523)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. NISHIKAWA Seiki (60004488)

# of Collaborated Projects: 4 results

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8. TOTAKE Takeshi (30004427)

# of Collaborated Projects: 4 results

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9. SUNADA Toshikazu (20022741)

# of Collaborated Projects: 4 results

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10. TACIZAWA Kazuya (80227090)

# of Collaborated Projects: 3 results

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11. BANDO Shigetoshi (40165064)

# of Collaborated Projects: 3 results

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12. 伊藤秀一 (90159905)

# of Collaborated Projects: 2 results

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13. 堀畑和弘 (10229239)

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14. 佐藤得志 (00261545)

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15. 吉野崇 (50005774)

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16. 上之郷高志 (60124567)

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17. 堀田良之 (70028190)

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18. KUROKI Gen (10234593)

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19. HASEGAWA Koji (30208483)

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20. KOTANI Motoko (50230024)

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21. 藤原耕二 (60229078)

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22. 中野史彦 (10291246)

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23. 今野一宏 (10186869)

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24. 藤家雪朗 (00238536)

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25. 会田茂樹 (90222455)

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26. 中澤則之 (10227770)

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27. 岡田正巳 (00152314)

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28. 清水悟 (90178971)

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29. 黒田正 (40004238)

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30. SAITO Kichi-suke (30018949)

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31. KISHIMOTO Akitaka (00128597)

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32. NAKAGAMI Yoshiomi (70091246)

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33. ARAKI Hujihiro (20027361)

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34. TOMIYAMA Jun (30006928)

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35. SAKAI Shoichiro (30130503)

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36. 井上淳 (50078557)

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37. UZAWA Tohru (40232813)

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38. MORITA Yasuo (20011653)

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39. NAYATANI Shin (70222180)

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40. URAKAWA Hajime (50022679)

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41. MORIMOTO Hiroko (50061974)

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42. TSUSHIMA Ryuji (20118764)

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43. SATO Atsuchi (70178705)

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44. AHARA Kazushi (80247147)

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45. 中村周 (50183520)

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SAITO Kazuyuki 斎藤 和之

斉藤 和之 サイトウ カズユキ

SAITO K. 斉藤 和之

斎藤 和之 サイトウ カズユキ

Research Projects

Research Products

Co-Researchers

Monotone complete C^*-algebras and their automorphism groupsPrincipal Investigator

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Automorphisms of operator algebras and quantum measuresPrincipal Investigator

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Principal Investigator

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Principal Investigator

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作用素環と諸種の解析学Principal Investigator

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作用素環と諸種の解析学Principal Investigator

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SAITO Kazuyuki 斎藤和之

斉藤和之サイトウカズユキ

SAITO K. 斉藤和之

斎藤和之サイトウカズユキ