Description

Book Synopsis
Determining the invariant subspaces of any given transformation and writing the transformation as an integral in terms of invariant subspaces is a fundamental problem. This book presents the foundations of the theory of triangular and Jordan representations of bounded linear operators in Hilbert space.

Table of Contents
Operator and matrix nodes. Characteristic functions of nodes Triangular representations of Volterra operators and multiplicative representations of characteristic functions of Volterra nodes Unicellular operators. Jordan representations of dissipative Volterra operators with nuclear imaginary components Appendix I. Generalization of Naimark's theorem Invertible holomorphic operator-functions Notes on the literature and additional remarks Bibliography.

Triangular and Jordan Representations of Linear

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Triangular and Jordan Representations of Linear by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 9/30/2006 12:00:00 AM
      ISBN13: 9780821841631, 978-0821841631
      ISBN10: 0821841637

      Description

      Book Synopsis
      Determining the invariant subspaces of any given transformation and writing the transformation as an integral in terms of invariant subspaces is a fundamental problem. This book presents the foundations of the theory of triangular and Jordan representations of bounded linear operators in Hilbert space.

      Table of Contents
      Operator and matrix nodes. Characteristic functions of nodes Triangular representations of Volterra operators and multiplicative representations of characteristic functions of Volterra nodes Unicellular operators. Jordan representations of dissipative Volterra operators with nuclear imaginary components Appendix I. Generalization of Naimark's theorem Invertible holomorphic operator-functions Notes on the literature and additional remarks Bibliography.

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