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Item Details
| Title:
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OPERATOR THEORY, ADVANCES AND APPLICATIONS;
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| Volume: |
Vol. 21 |
| By: |
I. Gohberg (Editor), M. A. Kaashoek (Editor) |
| Format: |
Hardback |
| List price:
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£72.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
3764318260 |
| ISBN 13: |
9783764318260 |
| Publisher: |
BIRKHAUSER VERLAG AG |
| Pub. date: |
31 December, 1986 |
| Pages: |
409 |
| Synopsis: |
The main part of this paper concerns Toeplitz operators of which the symbol W is an m x m matrix function defined on a disconnected curve r. The curve r is assumed to be the union of s + 1 nonintersecting simple smooth closed contours rOo r . . . rs which form the positively l oriented boundary of a finitely connected bounded domain in t. Our main requirement on the symbol W is that on each contour rj the function W is the restriction of a rational matrix function Wj which does not have poles and zeros on rj and at infinity. Using the realization theorem from system theory (see. e. g . [1]. Chapter 2) the rational matrix function Wj (which differs from contour to contour) may be written in the form 1 (0. 1) W . (A) = I + C. (A - A. f B. A E r. J J J J J where Aj is a square matrix of size nj x n say. B and C are j j j matrices of sizes n. x m and m x n . respectively. and the matrices A. J x J J and Aj = Aj - BjC have no eigenvalues on r . (In (0. 1) the functions j j Wj are normalized to I at infinity." |
| Illustrations: |
bibliography |
| Publication: |
Switzerland |
| Imprint: |
Birkhauser Verlag AG |
| Returns: |
Returnable |
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