This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.

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ISBN

978-0-08-092496-0

Language

English

Published

1990

Copyright

Imprint

Academic Press

DOI

https://doi.org/10.1016/C2009-0-22289-6

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Authors

Gerard J. Murphy

Mathematics Department, University College, Cork, Ireland

C*-Algebras and Operator Theory

C*-Algebras and Operator Theory

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CHAPTER 1 - Elementary Spectral Theory

CHAPTER 2 - C*-Algebras and Hilbert Space Operators

CHAPTER 3 - Ideals and Positive Functionals

CHAPTER 4 - Von Neumann Algebras

CHAPTER 5 - Representations of C*-Algebras

CHAPTER 6 - Direct Limits and Tensor Products

CHAPTER 7 - K-Theory of C*-Algebras

Appendix

Notes

References

Notation Index

Subject Index

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