Operator Algebras: an Introduction

Katavolos, Aristides

Serdica Mathematical Journal (2015)

  • Volume: 41, Issue: 1, page 49-82
  • ISSN: 1310-6600

Abstract

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The first part of these notes contains a sketch of the elementary parts of C*-algebra theory, culminating in the two Gelfand–Naimark theorems. The final section is a presentation of the basic facts of the theory of weak-* closed (possibly non-selfadjoint) unital algebras containing maximal abelian selfadjoint algebras (masas), or more generally bimodules over masas. 2010 Mathematics Subject Classification: Primary 46L05; Secondary 47L55.

How to cite

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Katavolos, Aristides. "Operator Algebras: an Introduction." Serdica Mathematical Journal 41.1 (2015): 49-82. <http://eudml.org/doc/295052>.

@article{Katavolos2015,
abstract = {The first part of these notes contains a sketch of the elementary parts of C*-algebra theory, culminating in the two Gelfand–Naimark theorems. The final section is a presentation of the basic facts of the theory of weak-* closed (possibly non-selfadjoint) unital algebras containing maximal abelian selfadjoint algebras (masas), or more generally bimodules over masas. 2010 Mathematics Subject Classification: Primary 46L05; Secondary 47L55.},
author = {Katavolos, Aristides},
journal = {Serdica Mathematical Journal},
keywords = {C*-algebras, Gelfand Theory; masa bimodules},
language = {eng},
number = {1},
pages = {49-82},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Operator Algebras: an Introduction},
url = {http://eudml.org/doc/295052},
volume = {41},
year = {2015},
}

TY - JOUR
AU - Katavolos, Aristides
TI - Operator Algebras: an Introduction
JO - Serdica Mathematical Journal
PY - 2015
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 41
IS - 1
SP - 49
EP - 82
AB - The first part of these notes contains a sketch of the elementary parts of C*-algebra theory, culminating in the two Gelfand–Naimark theorems. The final section is a presentation of the basic facts of the theory of weak-* closed (possibly non-selfadjoint) unital algebras containing maximal abelian selfadjoint algebras (masas), or more generally bimodules over masas. 2010 Mathematics Subject Classification: Primary 46L05; Secondary 47L55.
LA - eng
KW - C*-algebras, Gelfand Theory; masa bimodules
UR - http://eudml.org/doc/295052
ER -

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