C*-Algebras Hilbert Spaces

Introduction.5. Hilbert Spaces.5.1 Pre-Hilbert Spaces.5.1.1 General Results.5.1.2 Examples.5.1.3 Hilbert sums.5.2 Orthogonal Projections of Hilbert space.5.2.1 Projections onto Convex Sets.5.2.2 Orthogonality.5.2.3 Orthogonal Projections.5.2.4 Mean Ergodic Theorems.5.2.5 The Fréchet-Riesz Theorem.5.3 Adjoint 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 General Representations.5.4.3 Example of Representations5.5 Orthonormal Bases.5.5.1 General Results.5.5.2 Hilbert Dimension.5.5.3 Standard Examples.5.5.4 The Fourier-Plancherel Operator.5.5.5 Operators and Orthonormal Bases.5.5.6 Self-normal Compact Operators.5.5.7 Examples of Real C*-algebras.5.6 Hilbert right C*-Modules.5.6.1 Some General Results.5.6.2 Self-duality.5.6.3 Von Neumann right W*-modules.5.6.4 Examples.5.6.5 KE.5.6.6 Matrices over C*-algebras.5.6.7 Type I W*-algebras.Name Index. Subject Index. Symbol Index.Constantinescu, Corneliu is the author of 'C*-Algebras Hilbert Spaces', published 2001 under ISBN 9780444507525 and ISBN 0444507523.