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Functional Analysis: Entering Hilbert Space

Functional Analysis: Entering Hilbert Space

Entering Hilbert Space

by Vagn Lundsgaard Hansen
Paperback
Publication Date: 22/05/2006

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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 Hoelder 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.
ISBN:
9789812566867
9789812566867
Category:
Functional analysis & transforms
Format:
Paperback
Publication Date:
22-05-2006
Publisher:
World Scientific Publishing Co Pte Ltd
Country of origin:
Singapore
Pages:
148
Dimensions (mm):
229x154x10mm
Weight:
0.28kg

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