Geodesic
WEYL TYPE THEOREMS FOR FUNCTIONS OF OPERATORS
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 493-505

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.1017/S0017089512000092
Mots-clés : Primary 47A53, 47A60, Secondary 47A10 
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
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