We give the complete solution of a problem which reads in its simplest form as follows: Let T(a) be a block Toeplitz operator with piecewise continuous generating function and A n := T,(a) be the finite sections of this operator. Describe all sequences {Bn} belonging to the algebra ,~' which is gene
Norms of Moore-Penrose Inverses of Fredholm Toeplitz Operators
✍ Scribed by A. Rogozhin
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2006
- Tongue
- English
- Weight
- 318 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
This paper is concerned with necessary and sufficient conditions for the nonnegativity of Moore-Penrose inverses of Gram operators between real Hilbert spaces. These conditions include statements on acuteness (or obtuseness) of certain closed convex cones. The main result generalizes a well known re
A 1 h 1 + A 2 h 2 for h i ∈ H i , i = 1, 2. In this paper, several formulae for the Moore-Penrose inverse A † of A are derived, and an approach to constructing the weighted Moore-Penrose inverse from the nonweighted case is provided. In particular, the main result of Udwadia and Phohomsiri [F.E. Udw