FUNCTIONAL ANALYSIS: ENTERING HILBERT SPACE by Vagn Lundsgaard Hansen ( 9789812565631 )

Item Details

Title:

FUNCTIONAL ANALYSIS: ENTERING HILBERT SPACE

By:

Vagn Lundsgaard Hansen

Format:

Hardback

List price:

£69.00

Our price:

£62.10

Discount:

10% off

You save:

£6.90

ISBN 10:

9812565639

ISBN 13:

9789812565631

Availability:

Reprinting. This item may be subject to delays or cancellation.

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Publisher:

WORLD SCIENTIFIC PUBLISHING CO PTE LTD

Pub. date:

22 May, 2006

Pages:

148

Synopsis:

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 Holder 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.

Publication:

Singapore

Imprint:

World Scientific Publishing Co Pte Ltd

Returns:

Returnable

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