Functional Analysis: Entering Hilbert Space - Hardcover

Hansen, Vagn Lundsgaard

Hardcover

ISBN 10: 9812565639 ISBN 13: 9789812565631

Verlag: World Scientific Publishing Co Pte Ltd, 2006

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: World Scientific Publishing Co Pte Ltd
• Erscheinungsdatum: 2006
• Sprache: Englisch
• ISBN 10: 9812565639
• ISBN 13: 9789812565631
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 148
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar