ON REPRESENTATIONS OF FREDHOLM AND SEMI-FREDHOLM SPECTRA OF MULTI-TOEPLITZ OPERATORS WITH SYMBOLS IN H-INFINITY+C

Authors
CAO GF SUN SL
Citation
Gf. Cao et Sl. Sun, ON REPRESENTATIONS OF FREDHOLM AND SEMI-FREDHOLM SPECTRA OF MULTI-TOEPLITZ OPERATORS WITH SYMBOLS IN H-INFINITY+C, Journal of mathematical analysis and applications, 200(1), 1996, pp. 66-75
Citations number
17
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
200
Issue
1
Year of publication
1996
Pages
66 - 75
Database
ISI
SICI code
0022-247X(1996)200:1<66:OROFAS>2.0.ZU;2-3
Abstract
In this paper, we give the representations of Fredholm and semi-Fredho lm spectra of multi-Toeplilz operators with symbols in H-infinity + C, and prove that, for phi(1),..., phi(n) is an element of H-infinity C (n greater than or equal to 2), if (T-phi 1,..., T-phi n) is Fredhol m, then ind(T-phi 1,..., T-phi n) = 0, in contrast with the case of on e operator. (C) 1996 Academic Press, Inc.