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Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis [Paperback]

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Item description for Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis by Albrecht Böttcher...

This text is a self-contained introduction to some problems for Toeplitz matrices that are placed in the borderland between linear algebra and functional analysis. The text looks at Toeplitz matrices with rational symbols, and focuses attention on the asymptotic behavior of the singular values, which includes the behavior of the norms, the norms of the inverses, and the condition numbers as special cases. The text illustrates that the asymptotics of several linear algebra characteristics depend in a fascinating way on functional analytic properties of infinite matrices. Many convergence results can very comfortably be obtained by working with appropriate C*-algebras, while refinements of these results, for example, estimates of the convergence speed, nevertheless require hard analysis.



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Item Specifications...


Pages   104
Est. Packaging Dimensions:   Length: 9.2" Width: 6.5" Height: 0.4"
Weight:   0.45 lbs.
Binding  Softcover
Release Date   Jul 28, 2000
Publisher   Birkhäuser Basel
ISBN  3764362901  
ISBN13  9783764362904  


Availability  0 units.


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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > Linear
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Functional Analysis
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Mathematical Analysis
7Books > Subjects > Science > Mathematics > Matrices
8Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > Linear
9Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis



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