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Characterizations of perturbations of spectra of upper triangular operator matrices

✍ Scribed by Shifang Zhang; Zhaoqi Wu


Book ID
113721986
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
243 KB
Volume
392
Category
Article
ISSN
0022-247X

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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) Οƒ l (M C ), C∈Inv(K,H) Οƒ l (M C ) and C∈Inv(K,H) Οƒ l (M C ) are determined, where Οƒ l (T ), B l (K, H) and Inv(K, H) denote, respectively, the