Articles liés à Functional Analysis: Entering Hilbert Space

Functional Analysis: Entering Hilbert Space - Couverture rigide

Hansen, Vagn Lundsgaard

 
9789812565631: Functional Analysis: Entering Hilbert Space
Couverture rigide
ISBN 10 : 9812565639 ISBN 13 : 9789812565631
Editeur : World Scientific Publishing Co Pte Ltd, 2006

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

“This is a well-written student-friendly basic introduction to functional analysis and Hilbert space . . .” Maa Online Book 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.” Zentralblatt Math 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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2006
Langue
anglais
ISBN 10 
9812565639
ISBN 13 
9789812565631
Reliure
Relié
Nombre de pages
148
Coordonnées du fabricant
non disponible
Personne responsable
non disponible