On the Right (Left) Invertible Completions for Operator Matrices
✍ Scribed by Guojun Hai; Alatancang Chen
- Book ID
- 105760667
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2010
- Tongue
- English
- Weight
- 232 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
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
Let T ∈ B(H) be an invertible operator with polar decomposition T = UP and B ∈ B(H) commute with T . In this paper we prove that |||P λ BUP 1-λ ||| |||BT |||, where ||| • ||| is a weakly unitarily invariant norm on B(H) and 0 λ 1. As the consequence of this result, we have |||f (P λ UP 1-λ )||| |||f