Infinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method (Frontiers in Mathematics) - Couverture souple
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Synopsis
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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Présentation de l'éditeur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Infinite Matrices and Their Finite Sections : An Introduction to the Limit Operator Method
Edité par
Springer Basel AG, 2006
ISBN 10 : 3764377666
ISBN 13 : 9783764377663
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Etat : Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. N° de réf. du vendeur 55861961-6
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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 : An Introduction to the Limit Operator Method
Vendeur : Chiron Media, Wallingford, Royaume-Uni
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Infinite Matrices and their Finite Sections
Edité par
Springer, Basel, Birkhäuser Basel, Birkhäuser Aug 2006, 2006
ISBN 10 : 3764377666
ISBN 13 : 9783764377663
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9783764377663
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Infinite Matrices and Their Finite Sections
Edité par
Birkhauser Verlag AG, 2006
ISBN 10 : 3764377666
ISBN 13 : 9783764377663
Neuf
Couverture souple
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
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Etat : 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. . . . . N° de réf. du vendeur V9783764377663
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Infinite Matrices And Their Finite Sections: An Introduction to the Limit Operator Method
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. 1st edition. 191 pages. 9.25x6.75x0.50 inches. In Stock. N° de réf. du vendeur x-3764377666
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Infinite Matrices and their Finite Sections
Edité par
Birkhäuser Basel, 2006
ISBN 10 : 3764377666
ISBN 13 : 9783764377663
Neuf
Kartoniert / Broschiert
Vendeur : moluna, Greven, Allemagne
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Kartoniert / Broschiert. Etat : 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. N° de réf. du vendeur 5279758
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Infinite Matrices and Their Finite Sections
Edité par
Birkhauser Verlag AG, 2006
ISBN 10 : 3764377666
ISBN 13 : 9783764377663
Neuf
Couverture souple
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
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Etat : 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. N° de réf. du vendeur V9783764377663
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Infinite Matrices and their Finite Sections
Edité par
Birkhäuser Basel, Springer Basel Aug 2006, 2006
ISBN 10 : 3764377666
ISBN 13 : 9783764377663
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9783764377663
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Infinite Matrices and their Finite Sections : An Introduction to the Limit Operator Method
Edité par
Birkhäuser, Birkhäuser, 2006
ISBN 10 : 3764377666
ISBN 13 : 9783764377663
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9783764377663
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