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Perturbation of spectra for a class of 2×2 operator matrices

✍ Scribed by Alatancang, Guo-lin Hou, Guo-jun Hai


Book ID
118792901
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2012
Tongue
English
Weight
223 KB
Volume
28
Category
Article
ISSN
0168-9673

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When A ∈ B(H) and B ∈ B(K) are given, we denote by M C the operator matrix acting on the infinite- . In this paper, for given A and B, the sets C∈B l (K,H) σ l (M C ), C∈Inv(K,H) σ l (M C ) and C∈Inv(K,H) σ l (M C ) are determined, where σ l (T ), B l (K, H) and Inv(K, H) denote, respectively, the