Convexity and Its Applications in Functional Analysis - Couverture rigide

Asimow, L.

 
9780120653409: Convexity and Its Applications in Functional Analysis

Synopsis

Convexity Theory and its Applications in Functional Analysis is a five-chapter text that provides a geometric perspective of the convexity theory and its practical applications. Chapter 1 reviews the functional analytic preliminaries, including the Krein-Smulyan Theorem, the basic Choquet Theory, and the Bishop-Phelps Theorem. Chapter 2 gives the basic duality results, lattice theory and concrete representation theorems for order unit spaces and Banach lattices of type Mand L. Chapters 3 and 4 deal with the real affine function spaces through examining the Choquet simplex and the application of the study of real A(K) spaces to complex-values function spaces by means of a complex state space. Chapter 5 highlights the application of the theory to the study of non-commutative Banach algebras. This book will prove useful to mathematicians, engineers, and physicists.

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Autres éditions populaires du même titre

9781493307494: Convexity Theory and its Applications in Functional Analysis

Edition présentée

ISBN 10 :  1493307495 ISBN 13 :  9781493307494
Editeur : Academic Press, 2014
Couverture souple