Article ID Journal Published Year Pages File Type
4663749 Acta Mathematica Scientia 2014 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)