Functional Analysis: Entering Hilbert Space

Vagn Lundsgaard Hansen

ISBN 10: 9812566864 / ISBN 13: 9789812566867

Published by World Scientific Publishing Company Mai 2006, 2006

About this Item

Neuware - 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 H lder 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.

Seller Inventory # 9789812566867

Bibliographic Details

• Title: Functional Analysis: Entering Hilbert Space
• Publisher: World Scientific Publishing Company Mai 2006
• Publication Date: 2006
• Language: English
• ISBN 10: 9812566864
• ISBN 13: 9789812566867
• Binding: Taschenbuch
• Condition: Neu

About this title

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 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.

Review

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