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Selected Topics - 1st Edition - ISBN: 9780444507532, 9780080528366

Selected Topics, Volume 5

1st Edition

Serial Editor: Corneliu Constantinescu
eBook ISBN: 9780080528366
Hardcover ISBN: 9780444507532
Imprint: North Holland
Published Date: 2nd October 2001
Page Count: 622

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Table of Contents

Introduction.

6. Selected Chapters of C*-algebras.

6.1 Lp-Spaces.

6.1.1 Characteristic Families of Eigenvalues.

6.1.2 Characteristic Sequences.

6.1.3 Properties of the Lp-spaces.

6.1.4 Hilbert-Schmidt Operators.

6.1.5 The Trace.

6.1.6 Duals of Lp-spaces.

6.1.7 Exterior Multiplication and Lp-Spaces.

6.1.8 The Canonical Projection of the Triduals of K.

6.1.9 Integral Operators on Hilbert Spaces.

6.2 Selfadjoint Linear Differential Equations.

6.2.1 Selfadjoint boundary Value Problems.

6.2.2 The Regular Sturm-Liouville Theory.

6.2.3 Selfadjoint Linear Differential Equations on T.

6.2.4 Associated Parabolic and Hyperbolic Evolution Equations.

6.2.5 Selfadjoint Linear Partial Differential Equations.

6.2.6 Associated Parabolic and Hyperbolic Evolution Equations.

6.3 Von Neumann Algebras.

6.3.1 The Strong Topology.

6.3.2 Bidual of a C*-algebra.

6.3.3 Extension of the Functional Calculus.

6.3.4 Von Neumann-Algebras.

6.3.5 The Commutants.

6.3.6 Irreducible Representations.

6.3.7 Commutative von Neumann Algebras.

6.3.8 Representations of W*-algebras.

6.3.9 Finite-dimensional-algebras.

6.3.10 A generalization.

7. C*-algebras Generated by Groups.

7.1 Projective Representations of Groups.

7.1.1 Schur functions.

7.1.2 Projective Representations.

7.1.3 Supplementary Results.

7.1.4 Examples.

7.2 Clifford Algebras.

7.2.1 General Clifford Algebras.

7.2.2 Clp,q.

7.2.3 Cl(N).

Name Index. Subject Index.


Details

No. of pages:
622
Language:
English
Copyright:
© North Holland 2001
Published:
2nd October 2001
Imprint:
North Holland
eBook ISBN:
9780080528366
Hardcover ISBN:
9780444507532

Reviews

"A monograph of a remarkably original style (...) monumental book series."

Andrej V. Bulinski (Moskva). Zentralblatt Fur Mathematik.


About the Serial Editor

Corneliu Constantinescu

Affiliations and Expertise

Departement Mathematik, ETH Zürich, CH-8092 Zürich, Switzerland