Hilbert Spaces

Volume 4

By: Corneliu Constantinescu (Editor)

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Hardcover | 11 July 2001

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596 Pages

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22.23 x 15.24 x 3.18

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Introduction.

5. Hilbert Spaces.

5.1 Pre-H ilbert Spaces.

5.1.1 General Results.

5.1. 2 Examples.

5.1.3 Hilbert sums.

5.2 Orthog onal Projections of Hilbert space.

5.2.1 Projections onto Convex Sets.

5.2.2 Orthogonality.

5.2.3 O rthogonal Projections.

5.2.4 Mean Ergodic Theorems.
5.2.5 The Fréchet-Riesz Theorem.

5.3 Adj oint Operators.

5.3.1 General Results.

5.3 .2 Supplementary Results.

5.3.3 Selfadjoint Operators.

5.3.4 Normal Operators.

5.4 Representations.

5.4.1 Cyclic Representation.

5.4.2 Genera l Representations.

5.4.3 Example of Representations
5.5 Orthonormal Bases.

5.5.1 General Results.
5.5.2 Hilbert Dimension.

5.5.3 Standard Exa mples.

5.5.4 The Fourier-Plancherel Operator.

5.5.5 Operators and Orthonormal Bases.

5.5.6 Self-nor

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Introduction
Hilbert Spaces
Pre-Hilbert Spaces
General Results
Examples
Hilbert sums
Orthogonal Projections of Hilbert space
Projections onto Convex Sets
Orthogonality
Orthogonal Projections
Mean Ergodic Theorems
The FrTchet-Riesz Theorem
Adjoint Operators
General Results
Supplementary Results
Selfadjoint Operators
Normal Operators
Representations
Cyclic Representation
General Representations
Example of Representations
Orthonormal Bases
General Results
Hilbert Dimension
Standard Examples
The Fourier-Plancherel Operator
Operators and Orthonormal Bases
Self-normal Compact Operators
Examples of Real C*-algebras
Hilbert right C*-Modules
Some General Results
Self-duality
Von Neumann right W*-modules
Examples
KE
Matrices over C*-algebras
Type I W*-algebras
Name
Index Subject
Index Symbol
Index
Table of Contents provided by Publisher. All Rights Reserved.

Hilbert Spaces

Volume 4

At a Glance

Hardcover

Shipping

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