Functional Analysis: Entering Hilbert Space

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9789812566867: Functional Analysis: Entering Hilbert Space

“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.

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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.

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Vagn Lundsgaard Hansen
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ISBN 10: 9812566864 ISBN 13: 9789812566867
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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2006. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAJ9789812566867

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Book Description Wspc 2006-05-18, 2006. Book Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Bookseller Inventory # NU-MAR-00060289

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Vagn Lundsgaard Hansen
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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2006. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAJ9789812566867

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Book Description World Scientific Publishing Co Pte Ltd, 2006. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # CA-9789812566867

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Book Description World Scientific Publishing Co Pte Ltd. Paperback. Book Condition: new. BRAND NEW, Functional Analysis: Entering Hilbert Space, V.L. Hansen, 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. Bookseller Inventory # B9789812566867

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Book Description World Scientific Pub Co Inc, 2006. Paperback. Book Condition: Brand New. new title edition. 148 pages. 8.75x6.00x0.25 inches. In Stock. Bookseller Inventory # __9812566864

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