FUNCTIONAL ANALYSIS: ENTERING HILBERT SPACE
Hansen, Vagn Lundsgaard
ISBN 10: 9812565639 ISBN 13: 9789812565631
Published by World Scientific Publishing Comp, 2006
Used
hardcover
From
suffolkbooks, Center moriches, NY, U.S.A.
Seller rating 5 out of 5 stars
AbeBooks Seller since 10 December 2020
This specific item is no longer available.
About this Item
Description:
Fast Shipping - Safe and Secure 7 days a week! Seller Inventory # 3TWOWA002IGR
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:
The highlight of the book is the spectral theorem for selfadjoint linear compact operators, presented with full proof. The book ends with a set of well chosen exercises completing the main text.
"About this title" may belong to another edition of this title.
Bibliographic Details
Title: FUNCTIONAL ANALYSIS: ENTERING HILBERT SPACE
Publisher: World Scientific Publishing Comp
Publication Date: 2006
Binding: hardcover
Condition: Good