WEYL TYPE THEOREMS FOR FUNCTIONS OF OPERATORS
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 493-505
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A-Weyl's theorem and property (ω), as two variations of Weyl's theorem, were introduced by Rakočević. In this paper, we study a-Weyl's theorem and property (ω) for functions of bounded linear operators. A necessary and sufficient condition is given for an operator T to satisfy that f(T) obeys a-Weyl's theorem (property (ω)) for all f ∈ Hol(σ(T)). Also we investigate the small-compact perturbations of operators satisfying a-Weyl's theorem (property (ω)) in the setting of separable Hilbert spaces.
ZHU, SEN; LI, CHUN GUANG; ZHOU, TING TING. WEYL TYPE THEOREMS FOR FUNCTIONS OF OPERATORS. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 493-505. doi: 10.1017/S0017089512000092
@article{10_1017_S0017089512000092,
author = {ZHU, SEN and LI, CHUN GUANG and ZHOU, TING TING},
title = {WEYL {TYPE} {THEOREMS} {FOR} {FUNCTIONS} {OF} {OPERATORS}},
journal = {Glasgow mathematical journal},
pages = {493--505},
year = {2012},
volume = {54},
number = {3},
doi = {10.1017/S0017089512000092},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000092/}
}
TY - JOUR AU - ZHU, SEN AU - LI, CHUN GUANG AU - ZHOU, TING TING TI - WEYL TYPE THEOREMS FOR FUNCTIONS OF OPERATORS JO - Glasgow mathematical journal PY - 2012 SP - 493 EP - 505 VL - 54 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000092/ DO - 10.1017/S0017089512000092 ID - 10_1017_S0017089512000092 ER -
%0 Journal Article %A ZHU, SEN %A LI, CHUN GUANG %A ZHOU, TING TING %T WEYL TYPE THEOREMS FOR FUNCTIONS OF OPERATORS %J Glasgow mathematical journal %D 2012 %P 493-505 %V 54 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000092/ %R 10.1017/S0017089512000092 %F 10_1017_S0017089512000092
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