数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (6): 1885-1891.doi: 10.1016/S0252-9602(14)60132-6

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ALGEBRAIC EXTENSION OF *-A OPERATOR

左红亮|左飞   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • 收稿日期:2013-05-11 修回日期:2013-10-19 出版日期:2014-11-20 发布日期:2014-11-20
  • 基金资助:

    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).

ALGEBRAIC EXTENSION OF *-A OPERATOR

 ZUO Hong-Liang, ZUO Fei   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • Received:2013-05-11 Revised:2013-10-19 Online:2014-11-20 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).

摘要:

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.

关键词: algebraic extension of *-A operator, SVEP, isoloid, Weyl´s theorem

Abstract:

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

中图分类号: 

  • 47B20