TITLE:
Spectra of 2 × 2 Upper-Triangular Operator Matrices
AUTHORS:
Haiyan Zhang
KEYWORDS:
Spectra; Upper-Triangular Operator Matrix; Fredholm Operator
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.11A,
October
31,
2013
ABSTRACT:
In [Perturbation of Spectrums of 2 × 2 Operator Matrices, Proceedings of the American Mathematical Society, Vol. 121, 1994], the authors asked whether there was an operator such that for a given pair(A,B)of operators, where the operator was defined by . In this note, a partial answer for the question is given.