The Intersection of Upper and Lower Semi-Browder Spectrum of Upper-Triangular Operator Matrices

Shifang Zhang, Huaijie Zhong and Long Long

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

When and are given, we denote by the operator acting on the infinite-dimensional separable Hilbert space of the form . In this paper, it is proved that there exists some operator such that is upper semi-Browder if and only if there exists some left invertible operator such that is upper semi-Browder. Moreover, a necessary and sufficient condition for to be upper semi-Browder for some is given, where denotes the subset of all of the invertible operators of .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:373147

DOI: 10.1155/2013/373147

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