Functional Analysis: Entering Hilbert Space
Book Details
Format
Paperback / Softback
ISBN-10
9812566864
ISBN-13
9789812566867
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
May 22nd, 2006
Print length
148 Pages
Weight
272 grams
Dimensions
23.60 x 16.10 x 1.10 cms
Product Classification:
Functional analysis & transformsFunctional analysis and transforms
Ksh 6,650.00
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This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including proofs of the basic inequalities of Hölder and Minkowski. The Lp-spaces thereby emerges in direct analogy with a construction of the real numbers from the rational numbers. This allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.
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