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Polynomial operator matrices as semigroup generators: the 2×2 case

✍ Scribed by Klaus-J. Engel


Publisher
Springer
Year
1989
Tongue
English
Weight
596 KB
Volume
284
Category
Article
ISSN
0025-5831

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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