Consistent invertibility and Weyl's theorem |
| |
| Authors: | Xiaohong Cao Hejia Zhang Yanhua Zhang |
| |
| Affiliation: | College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, People's Republic of China |
| |
| Abstract: | ![]()
A Banach space operator T∈B(X) may be said to be “consistent in invertibility” provided that for each S∈B(X), TS and ST are either both or neither invertible. The induced spectrum contributes the conditions equivalent to various forms of “Weyl's theorem”. |
| |
| Keywords: | Weyl's theorem a-Weyl's theorem Consistent in invertibility |
| 本文献已被 ScienceDirect 等数据库收录！ |
