Infinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method (Frontiers in Mathematics) - Softcover
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This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. The main concepts presented are invertibility at infinity (closely related to Fredholmness), limit operators, and the stability and convergence of finite matrix approximations. Concrete examples are used to illustrate the results throughout, including discrete Schrödinger operators and integral and boundary integral operators arising in mathematical physics and engineering.
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Infinite Matrices and Their Finite Sections : An Introduction to the Limit Operator Method
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Infinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method (Frontiers in Mathematics)
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Infinite Matrices and their Finite Sections
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Springer, Basel, Birkhäuser Basel, Birkhäuser Aug 2006, 2006
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book we are concerned with the study of a certain class of in nite matrices and two important properties of them: their Fredholmness and the stability of the approximation by their nite truncations. Let us take these two properties as a starting point for the big picture that shall be presented in what follows. Stability Fredholmness We think of our in nite matrices as bounded linear operators on a Banach space E of two-sided in nite sequences. Probably the simplest case to start with 2 + is the space E = of all complex-valued sequences u=(u ) for which m m= 2 |u | is summable over m Z. m Theclassofoperatorsweareinterestedinconsistsofthoseboundedandlinear operatorsonE whichcanbeapproximatedintheoperatornormbybandmatrices. We refer to them as band-dominated operators. Of course, these considerations 2 are not limited to the space E = . We will widen the selection of the underlying space E in three directions: p - We pass to the classical sequence spaces with 1 p . n - Our elements u=(u ) E have indices m Z rather than just m Z. m - We allow values u in an arbitrary xed Banach spaceX rather than C. 191 pp. Englisch. Bestandsnummer des Verkäufers 9783764377663
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Infinite Matrices and Their Finite Sections
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Zustand: New. An introduction to a fascinating topic at the interface of functional analysis, algebra and numerical analysis, written for students, researchers and practitioners. This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. Series: Frontiers in Mathematics. Num Pages: 206 pages, 12 black & white illustrations, biography. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 170 x 11. Weight in Grams: 347. . 2006. Paperback. . . . . Bestandsnummer des Verkäufers V9783764377663
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Infinite Matrices And Their Finite Sections: An Introduction to the Limit Operator Method
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Paperback. Zustand: Brand New. 1st edition. 191 pages. 9.25x6.75x0.50 inches. In Stock. Bestandsnummer des Verkäufers x-3764377666
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Infinite Matrices and their Finite Sections
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ISBN 10: 3764377666
ISBN 13: 9783764377663
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Kartoniert / Broschiert. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A fascinating topic at the interface of functional analysis, algebra and numerical analysisPresents a recently developed and powerful tool for the understanding of the connection between large finite matrices and their infinite counterparts. Bestandsnummer des Verkäufers 5279758
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Infinite Matrices and Their Finite Sections
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Zustand: New. An introduction to a fascinating topic at the interface of functional analysis, algebra and numerical analysis, written for students, researchers and practitioners. This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. Series: Frontiers in Mathematics. Num Pages: 206 pages, 12 black & white illustrations, biography. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 170 x 11. Weight in Grams: 347. . 2006. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9783764377663
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Infinite Matrices and their Finite Sections
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Birkhäuser Basel, Springer Basel Aug 2006, 2006
ISBN 10: 3764377666
ISBN 13: 9783764377663
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Taschenbuch. Zustand: Neu. Neuware -In this book we are concerned with the study of a certain class of in nite matrices and two important properties of them: their Fredholmness and the stability of the approximation by their nite truncations. Let us take these two properties as a starting point for the big picture that shall be presented in what follows. Stability Fredholmness We think of our in nite matrices as bounded linear operators on a Banach space E of two-sided in nite sequences. Probably the simplest case to start with 2 + is the space E = of all complex-valued sequences u=(u ) for which m m= 2 |u | is summable over m Z. m Theclassofoperatorsweareinterestedinconsistsofthoseboundedandlinear operatorsonE whichcanbeapproximatedintheoperatornormbybandmatrices. We refer to them as band-dominated operators. Of course, these considerations 2 are not limited to the space E = . We will widen the selection of the underlying space E in three directions: p ¿ We pass to the classical sequence spaces with 1 p . n ¿ Our elements u=(u ) E have indices m Z rather than just m Z. m ¿ We allow values u in an arbitrary xed Banach spaceX rather than C.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 212 pp. Englisch. Bestandsnummer des Verkäufers 9783764377663
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this book we are concerned with the study of a certain class of in nite matrices and two important properties of them: their Fredholmness and the stability of the approximation by their nite truncations. Let us take these two properties as a starting point for the big picture that shall be presented in what follows. Stability Fredholmness We think of our in nite matrices as bounded linear operators on a Banach space E of two-sided in nite sequences. Probably the simplest case to start with 2 + is the space E = of all complex-valued sequences u=(u ) for which m m= 2 |u | is summable over m Z. m Theclassofoperatorsweareinterestedinconsistsofthoseboundedandli near operatorsonE whichcanbeapproximatedintheoperatornormbybandmatrices. We refer to them as band-dominated operators. Of course, these considerations 2 are not limited to the space E = . We will widen the selection of the underlying space E in three directions: p - We pass to the classical sequence spaces with 1 p . n - Our elements u=(u ) E have indices m Z rather than just m Z. m - We allow values u in an arbitrary xed Banach spaceX rather than C. Bestandsnummer des Verkäufers 9783764377663
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