Fredholm consistency of upper-triangular operator matrices

被引：3
作者：
Cvetkovic-Ilic, Dragana S. [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Dept Math, Nish 18000, Serbia
来源：
JOURNAL OF SPECTRAL THEORY | 2017年 / 7卷 / 04期
关键词：
Fredholm operator; Fredholm consistent operator; upper-triangular operator; INVERTIBLE COMPLETIONS; WEYLS THEOREM; BOUNDEDNESS; SPECTRUM;
D O I：
10.4171/JST/184
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, for given operators A is an element of B (H) and B is an element of B (K), we characterize the set of all C is an element of B (K, H) such that the operator matrix M-C = [(A)(0) (C)(B)] is Fredholm consistent. We completely describe the sets boolean AND(C is an element of B(K, H)) sigma(FC) (MC) and boolean OR(C is an element of B(K, H)) sigma(FC) (MC). Also, we prove that boolean AND(C is an element of B(K, H)) sigma(FC) (MC) = sigma(FC) (M-0).
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页码：1023 / 1038
页数：16
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