C-semigroups of linear operators in Banach spaces : a generalization of the Hille-Yosida theorem バナッハ空間における線形作用素C-半群 : ヒレ・吉田の定理の一般化

この論文をさがす

著者

    • 田中, 直樹 タナカ, ナオキ

書誌事項

タイトル

C-semigroups of linear operators in Banach spaces : a generalization of the Hille-Yosida theorem

タイトル別名

バナッハ空間における線形作用素C-半群 : ヒレ・吉田の定理の一般化

著者名

田中, 直樹

著者別名

タナカ, ナオキ

学位授与大学

早稲田大学

取得学位

理学博士

学位授与番号

甲第852号

学位授与年月日

1990-10-18

注記・抄録

博士論文

目次

  1. Contents / (0004.jp2)
  2. Introduction / p1 (0006.jp2)
  3. Chapter One Exponentially Bounded C-Semigroups(I) / p9 (0014.jp2)
  4. §1.Exponentially Bounded C-Semigroups / p10 (0015.jp2)
  5. 1.Exponentially Bounded C-Semigroups / p10 (0015.jp2)
  6. 2.Representation of Exponentially Bounded C-Semigroups / p16 (0021.jp2)
  7. 3.Generation of Exponentially Bounded C-Semigroups / p22 (0027.jp2)
  8. 4.The Abstract Cauchy Problem / p26 (0031.jp2)
  9. §2.Generation of Semigroups / p29 (0034.jp2)
  10. 1.Semigroups and Exponentially Bounded C-Semigroups / p29 (0034.jp2)
  11. 2.Generation of Semigroups / p37 (0042.jp2)
  12. 3.Generation of Semigroups of Classes (C(k)) / p42 (0047.jp2)
  13. 4.Generation of Semigroups of Growth Order α>0 / p44 (0049.jp2)
  14. §3.Exponentially Bounded Integrated Semigroups and Exponentially Bounded C-Semigroups / p53 (0058.jp2)
  15. Chapter Two Exponentially Bounded Holomorphic C-Semigroups and Holomorphic Semigroups / p60 (0065.jp2)
  16. §1.Exponentially Bounded Holomorphic C-Semigroups / p61 (0066.jp2)
  17. §2.Holomorphic Semigroups of Growth Order α / p65 (0070.jp2)
  18. Chapter Three Perturbation Theory for Exponentially Bounded C-Semigroups / p74 (0079.jp2)
  19. §1.Perturbation Theory for Exponentially Bounded C-Semigroups / p75 (0080.jp2)
  20. §2.Perturbation Theory for Exponentially Bounded Integrated Semigroups / p83 (0088.jp2)
  21. §3.Applications / p90 (0095.jp2)
  22. Chapter Four Local C-Semigroups and Local Integrated Semigroups / p95 (0100.jp2)
  23. §1.Local C-Semigroups / p96 (0101.jp2)
  24. 1.Local C-Semigroups / p96 (0101.jp2)
  25. 2.Generation of Local C-Semigroups / p99 (0104.jp2)
  26. 3.The Abstract Cauchy Problem / p110 (0115.jp2)
  27. §2.Local Integrated Semigroups and Local C-Semigroups / p113 (0118.jp2)
  28. §3.Concluding Remarks / p131 (0136.jp2)
  29. Chapter Five Exponentially Bounded C-Semigroups(II) / p138 (0143.jp2)
  30. §1.Exponentially Bounded C-Semigroups / p139 (0144.jp2)
  31. 1.Exponentially Bounded C-Semigroups / p139 (0144.jp2)
  32. 2.Construction of Exponentially Bounded C-Semigroups / p143 (0148.jp2)
  33. §2.Exponentially Bounded Integrated Semigroups and Exponentially Bounded C-Semigroups / p152 (0157.jp2)
  34. §3.A Remark on Exponentially Bounded C-Semigroups / p159 (0164.jp2)
  35. 1.Exponentially Bounded C-Semigroups and Semigroups of Class(C₀) / p159 (0164.jp2)
  36. 2.Applications / p164 (0169.jp2)
  37. References / p167 (0172.jp2)
3アクセス

各種コード

  • NII論文ID(NAID)
    500000076589
  • NII著者ID(NRID)
    • 8000000076792
  • DOI(NDL)
  • NDL書誌ID
    • 000000240903
  • データ提供元
    • NDL-OPAC
    • NDLデジタルコレクション
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