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Bounded Linear Operators on Hilbert Spaces

  • Israel Gohberg
  • Seymour Goldberg

Abstract

In this chapter, continuous linear functions defined on a Hubert space are introduced and studied. These functions are described by infinite matrices in the same way as linear transformations on ℂn are represented by finite matrices. In this way the chapter may be viewed as a beginning of a theory of infinite matrices. As may be expected, analysis plays a very important role.

Keywords

Hilbert Space Orthonormal Basis Orthogonal Projection Compact Operator Bounded Linear Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2001

Authors and Affiliations

  • Israel Gohberg
    • 1
  • Seymour Goldberg
    • 2
  1. 1.Department of MathematicsTel-Aviv UniversityRamat-AvivIsrael
  2. 2.Mathematics DepartmentUniversity of MarylandCollege ParkUSA

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