On Weyl’s Theorem for Functions of Operators

Autor:	Xiao Hong Cao, Lei Dai, Jiong Dong
Rok vydání:	2019
Předmět:	Pure mathematics Applied Mathematics General Mathematics 010102 general mathematics Hilbert space HOL 01 natural sciences Separable space symbols.namesake 0103 physical sciences symbols 010307 mathematical physics 0101 mathematics Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 35:1367-1376
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-019-7512-8
Popis:	Let H be a complex separable infinite dimensional Hilbert space. In this paper, a variant of the Weyl spectrum is discussed. Using the new spectrum, we characterize the necessary and sufficient conditions for both T and f(T) satisfying Weyl’s theorem, where f ∊ Hol(σ(T)) and Hol(σ(T)) is defined by the set of all functions f which are analytic on a neighbourhood of σ(T) and are not constant on any component of σ(T). Also we consider the perturbations of Weyl’s theorem for f(T).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fbd1f00a45ee81a38e8dec647a790cdb https://doi.org/10.1007/s10114-019-7512-8 Zobrazit plný text záznamu Plný text ve formátu PDF