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The Gelfand theory of Banach algebras is presented in this book, along with several significant applications.
The famed commutative and non-commutative Gelfand-Naimark theorems are then addressed, and intriguing applications of them are shown, after presenting C*-algebras and using the prior theory.
Characterizations of C* Algebras
Generalized B*-Algebras and Applications
Banach Algebras and Applications
Homogeneous Banach Algebras
Calkin Algebras and Algebras of Operators on Banach Spaces
Combinatorial Set Theory of C*-algebras
Introduction to Operator Algebras
Characterizing Groupoid C*-algebras of Non-Hausdorff Etale Groupoids
Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles
Representation Theory and C*-algebras
Functional Analysis and Operator Algebras
Functional Analysis with Applications
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