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Numerical ranges of large Toeplitz matrices

✍ Scribed by Steffen Roch

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
739 KB
Volume
282
Category
Article
ISSN
0024-3795

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✦ Synopsis

A Banach algebraic approach is proposed to study the asymptotic bchaviour of the numerical ranges of certain (finite) approximation matrices of {infinite) operators. The approach works for large classes of approximation methods; it is examined in detail here for the finite sections of Toeplitz operators and of operators which are generateu by Toeplitz operators. The basic ingredient is a precise knowledge of the finite section method for Toeplitz and related operators.

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