書誌事項

Traces and determinants of linear operators

Israel Gohberg, Seymour Goldberg, Nahum Krupnik

(Operator theory : advances and applications, v. 116)

Birkhäuser, c2000

  • : sz

大学図書館所蔵 件 / 37

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注記

Includes bibliographical references (p. [249]-252) and index

内容説明・目次

内容説明

This book is dedicated to a theory of traces and determinants on embedded algebras of linear operators, where the trace and determinant are extended from finite rank operators by a limit process. The self-contained material should appeal to a wide group of mathematicians and engineers, and is suitable for teaching.

目次

  • Finite rank operators
  • continuous extension of trace and determinant
  • first examples
  • trace class and Hilbert-Schmidt operators in Hilbert space
  • nuclear operators in Banach spaces
  • the Fredholm determinant
  • possible values of traces and determinants - Perelson algebras
  • inversion formulas
  • regularised determinants
  • Hilbert-Carleman determinants
  • regularised determinants of higher order
  • inversion formulas via generalised determinants
  • determinants of integral operators with semi-separable kernels
  • algebras without the approximation property. Bibliography
  • list of symbols.

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詳細情報

  • NII書誌ID(NCID)
    BA45642514
  • ISBN
    • 3764361778
  • LCCN
    00023638
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Basel ; Boston
  • ページ数/冊数
    viii, 258 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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