Acta mathematica scientia, Series B >
ALGEBRAIC EXTENSION OF *-A OPERATOR
Received date: 2013-05-11
Revised date: 2013-10-19
Online published: 2014-11-20
Supported by
This work was partially supported by the NNSF (11201126); the Basic Science and Technological Frontier Project of Henan Province (142300410167); the Nat-ural Science Foundation of the Department of Education, Henan Province (14B110008); the Youth Science Foundation of Henan Normal University (2013QK01).
In this paper, we study various properties of algebraic extension of *-A operator. Specifically, we show that every algebraic extension of *-A operator has SVEP and is isoloid. And if T is an algebraic extension of *-A operator, then Weyl´s theorem holds for f(T), where f is an analytic functions on some neighborhood of σ(T) and not constant on each of the components of its domain.
Key words： algebraic extension of *-A operator; SVEP; isoloid; Weyl´s theorem
ZUO Hong-Liang , ZUO Fei . ALGEBRAIC EXTENSION OF *-A OPERATOR[J]. Acta mathematica scientia, Series B, 2014 , 34(6) : 1885 -1891 . DOI: 10.1016/S0252-9602(14)60132-6
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