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A Hilbert Space Problem Book /

From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks ... The second part, a very short one, consists of hints ... The third part, the l...

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Bibliographic Details
Main Author: Halmos, P. R.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer US, 1974.
Series:Graduate texts in mathematics ; 19.
Subjects:
Mathematics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Vectors
  • Spaces
  • Weak Topology
  • Analytic Functions
  • Infinite Matrices
  • Boundedness and Invertibility
  • Multiplication Operators
  • Operator Matrices
  • Properties of Spectra
  • Examples of Spectra
  • Spectral Radius
  • Norm Topology
  • Operator Topologies
  • Strong Operator Topology
  • Partial Isometries
  • Polar Decomposition
  • Unilateral Shift
  • Cyclic Vectors
  • Properties of Compactness
  • Examples of Compactness
  • Subnormal Operators
  • Numerical Range
  • Unitary Dilations
  • Commutators
  • Toeplitz Operators
  • References
  • List of Symbols
  • Index.