Infinite Matrices and their Finite Sections : An Introduction to the Limit Operator Method

Language: English

Published by Birkhäuser, 2006

3764377666 / 9783764377663

Series: Book 3 of 48 - Frontiers in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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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 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.…

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Title
Infinite Matrices and their Finite Sections : An Introduction to the Limit Operator Method
Author
Marko Lindner
Publisher
Birkhäuser
Publication year
2006
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3764377666
ISBN 13
9783764377663
Item weight
375 grams
Dimensions
244x170x12 mm
Series
Book 3 of 48: Frontiers in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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