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Cover......Page 1 Title......Page 2 Preface......Page 4 Table of contents of Vol.2......Page 6 Introduction......Page 8 2.1.1 General Results......Page 11 2.1.2 Invertible Elements......Page 21 2.1.3 The Spectrum......Page 25 2.1.4 Standard Examples......Page 40 2.1.5 Complexification of Algebras......Page 59 Exercises......Page 73 2.2.1 General Results......Page 77 2.2.2 The Standard Examples......Page 90 2.2.3 The Exponential Function and the Neumann Series . .......Page 122 2.2.4 Invertible Elements of Unital Banach Algebras......Page 133 2.2.5 The Theorems of Riesz and Gelfand......Page 161 2.2.6 Poles of Resolvents......Page 169 2.2.7 Modules......Page 182 Exercises......Page 205 2.3.1 Involutive Algebras......Page 209 2.3.2 Involutive Banach Algebras......Page 249 2.3.3 Sesquilinear Forms......Page 283 2.3.4 Positive Linear Forms......Page 295 2.3.5 The State Space......Page 313 2.3.6 Involutive Modules......Page 330 Exercises......Page 336 2.4.1 The Gelfand Transform......Page 339 2.4.2 Involutive Gelfand Algebras......Page 351 2.4.3 Examples......Page 366 2.4.4 Locally Compact Additive Groups......Page 373 2.4.5 Examples......Page 386 2.4.6 The Fourier Transform......Page 3

Who reads C\* Algebras, Volume 2: Banach Algebras and Compact Operators?

Author

Corneliu Constantinescu

Publisher

North Holland

Published

2001

Language

EN

ISBN

9780444507532

Category

mathematics

Subjects

Mathematics, Stem

Updated

2026-03-25