FUNCTIONAL ANALYSIS: ENTERING HILBERT SPACE (Paperback)

Idioma: inglés

Editorial: World Scientific Publishing Co Pte Ltd, Singapore, 2006

9812566864 / 9789812566867

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Paperback. 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 Holder 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.In this second edition, I have expanded the material on normed vector spaces and their operators presented in Chapter 1 to include proofs of the Open Mapping Theorem, the Closed Graph Theorem and the Hahn-Banach Theorem.The material on operators between normed vector spaces is further expanded in a new Chapter 6, which presents the basic elements of the theory of Fredholm operators on general Banach spaces, not only on Hilbert spaces. This requires that we develop the theory of dual operators between Banach spaces to replace the use of adjoint operators between Hilbert spaces.With the addition of the new material on normed vector spaces and their operators, the book can serve as a general introduction to functional analysis viewed as a theory of infinite dimensional linear spaces and linear operators acting on them. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

N° de ref. del artículo 9789812566867

Título
FUNCTIONAL ANALYSIS: ENTERING HILBERT SPACE (Paperback)
Autor
Vagn Lundsgaard Hansen
Editorial
World Scientific Publishing Co Pte Ltd, Singapore
Año de publicación
2006
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
9812566864
ISBN 13
9789812566867

AussieBookSeller

Truganina, VIC, Australia

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Vendedor de AbeBooks desde el 22 de junio de 2007

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Primer artículoEUR 32,63EUR 38,80
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The Nile Group Pty Ltd

42 Apex Drive
Truganina, VIC Australia 3029