Functional Analysis: Entering Hilbert Space - Softcover

Hansen, Vagn Lundsgaard

Softcover

ISBN 10: 9812566864 ISBN 13: 9789812566867

Verlag: Wspc, 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.

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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.

Details zur Ausgabe

• Verlag: Wspc
• Erscheinungsdatum: 2006
• Sprache: Englisch
• ISBN 10: 9812566864
• ISBN 13: 9789812566867
• Einband: Tapa blanda
• Anzahl der Seiten: 146
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar