ADDITIVE MAPS PRESERVING THE SEMI-FREDHOLM DOMAIN IN SPECTRUM

作者：Shi Weijuan; Ji Guoxing^*

来源：Annals of Functional Analysis, 2016, 7(2): 254-260.

DOI：10.1215/2008752-3175508

• semi-Fredholm domain
• additive map
• additive preserver

Let X be an infinite-dimensional complex Banach space and let B(X) be the algebra of all bounded linear operators. In this article we show that an additive surjective map phi on B(X) preserving the semi-Fredholm domain in spectrum is an automorphism or an antiautomorphism on B(X).

• 出版日期2016-5
• 单位陕西师范大学