Functional Analysis: Entering Hilbert Space - Tapa blanda

Hansen, Vagn Lundsgaard

 
9789812566867: Functional Analysis: Entering Hilbert Space

Sinopsis

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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Críticas

.,." a well-written student-friendly basic introduction to functional analysis and Hilbert space ...?

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título

9789812565631: Functional Analysis: Entering Hilbert Space

Edición Destacada

ISBN 10:  9812565639 ISBN 13:  9789812565631
Editorial: World Scientific Publishing Co P..., 2006
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