The intersection of left (right) spectra of 2 × 2 upper triangular operator matrices |
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| Authors: | Yuan Li Xiu-Hong Sun |
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| Affiliation: | a College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, PR China
b Department of Basic Courses, Xi’an University of Science and Technology, Xi’an 710054, PR China |
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| Abstract: | When A∈B(H) and B∈B(K) are given, we denote by MC the operator matrix acting on the infinite-dimensional separable Hilbert space H⊕K of the form  In this paper, for given A and B, the sets  and ?C∈Inv(K,H)σl(MC) are determined, where σl(T),Bl(K,H) and Inv(K,H) denote, respectively, the left spectrum of an operator T, the set of all the left invertible operators and the set of all the invertible operators from K into H. |
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| Keywords: | 47A10 47A53 47A55 |
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