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- W175167169 abstract "Given an open subset Λ of the complex plane and an analytic function f defined on Λ, the norm-closure of f[S e(Λ)~]:= {f(Ã): A is a linear bounded operator on the Hubert space H, and σe(A) ⊂Λ} is described in terms of f, Λ and the different parts of the spectra of the operators. (Here à denotes the canonical projection of A in the Calkin algebra, and σe(A) is the essential spectrum of A.) The results include spectral characterizations of interior (f [S e (Λ)~]-) and its closure, and formulas for the distance from a given element of the Calkin algebra to f[S e(Λ)~], and to interior (f[S e(Λ)~]-)." @default.
- W175167169 created "2016-06-24" @default.
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- W175167169 date "1988-01-01" @default.
- W175167169 modified "2023-10-18" @default.
- W175167169 title "Analytic Functions of Elements of the Calkin Algebra, and Their Limits" @default.
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- W175167169 doi "https://doi.org/10.1007/978-3-0348-9284-1_4" @default.
- W175167169 hasPublicationYear "1988" @default.
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