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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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- EditoreAcademic Pr
- Data di pubblicazione1980
- ISBN 10 0120653400
- ISBN 13 9780120653409
- RilegaturaCopertina rigida
- LinguaInglese
- Numero edizione1
- Numero di pagine266
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Convexity and Its Applications in Functional Analysis (London Mathematical Society Monographs)
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