On the filling in holes problem for operator matrices

6Citations
Citations of this article
4Readers
Mendeley users who have this article in their library.
Get full text

Abstract

We consider upper-triangular 2-by-2 operator matrices and are interested in the set that has to be added to certain spectra of the matrix in order to get the union of the corresponding spectra of the two diagonal operators. We show that in the cases of the Browder essential approximate point spectrum, the upper semi-Fredholm spectrum, or the lower semi-Fredholm spectrum the set in question need not to be an open set but may be just a singleton. In addition, we modify and extend known results on Hilbert space operators to operators on Banach spaces. © 2008 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Chen, X., Zhang, S., & Zhong, H. (2009). On the filling in holes problem for operator matrices. Linear Algebra and Its Applications, 430(1), 558–563. https://doi.org/10.1016/j.laa.2008.08.022

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free