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Linear Operators in Hilbert Spaces

  • D. M. Gitman
  • I. V. Tyutin
  • B. L. Voronov
Chapter
Part of the Progress in Mathematical Physics book series (PMP, volume 62)

Abstract

A solution of the problems raised in Introduction requires appealing to some nontrivial items of functional analysis concerning the theory of linear operators in Hilbert spaces, especially of unbounded symmetric and self-adjoint operators. We remind the reader of basic notions and facts from the theory of Hilbert spaces and of linear operators in such spaces which are relevant to the subject of the present book.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • D. M. Gitman
    • 1
  • I. V. Tyutin
    • 2
  • B. L. Voronov
    • 2
  1. 1.Instituto de FísicaUniversidade de São PauloSão PauloBrasil
  2. 2.Department of Theoretical PhysicsP.N. Lebedev Physical InstituteMoscowRussia

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