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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.
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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.
Review
This is a well-written student-friendly basic introduction to functional analysis and Hilbert space ...
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FUNCTIONAL ANALYSIS: ENTERING HILBERT SPACE
Published by
World Scientific Publishing Comp, 2006
ISBN 10: 9812565639
ISBN 13: 9789812565631
Used
Hardcover
Seller: suffolkbooks, Center moriches, NY, U.S.A.
Seller rating 4 out of 5 stars
hardcover. Condition: Good. Fast Shipping - Safe and Secure 7 days a week! Seller Inventory # 3TWOWA002IGR
Quantity: 1 available
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Functional Analysis: Entering Hilbert Space
Published by
World Scientific Publishing Company, 2006
ISBN 10: 9812565639
ISBN 13: 9789812565631
Used
Hardcover
Seller: ThriftBooks-Dallas, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 0.93. Seller Inventory # G9812565639I3N10
Quantity: 1 available
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Functional Analysis : Entering Hilbert Space
Published by
World Scientific Publishing Co Pte Ltd, 2006
ISBN 10: 9812565639
ISBN 13: 9789812565631
Used
Hardcover
Seller: Better World Books, Mishawaka, IN, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Seller Inventory # 53257829-6
Quantity: 1 available