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• W2028609256 abstract "Let <TEX>$mathcal{H}$</TEX> be a complex separable infinite dimensional Hilbert space. In this paper, a necessary and sufficient condition is given for an operator T on <TEX>$mathcal{H}$</TEX> to satisfy that <TEX>$f(T)$</TEX> obeys generalized Weyl's theorem for each function <TEX>$f$</TEX> analytic on some neighborhood of <TEX>${sigma}(T)$</TEX>. Also we investigate the stability of generalized Weyl's theorem under (small) compact perturbations." @default.
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• W2028609256 date "2012-09-30" @default.
• W2028609256 modified "2023-10-16" @default.
• W2028609256 title "GENERALIZED WEYL'S THEOREM FOR FUNCTIONS OF OPERATORS AND COMPACT PERTURBATIONS" @default.
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• W2028609256 doi "https://doi.org/10.4134/bkms.2012.49.5.899" @default.
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