A uniqueness theorem for convolution operators
β Scribed by Carlos A. Berenstein
- Publisher
- John Wiley and Sons
- Year
- 1971
- Tongue
- English
- Weight
- 461 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A bounded linear operator T on a complex Hilbert space will be called completely indecomposable if its spectrum is not a singleton, and is included in the spectrum of the restrictions of T and T \* to any of their nonzero invariant subspaces. Two classes of completely indecomposable operators are co
In [3] ROSSBEBQ and the author showed the following theorem. Theorem 1. A stable distribution F &! un&pely defined, if its values on a set with thee finite limit points 11,2,5 are given (provided that F(li)\*O; 1). In the discussion of this paper (see [ 3 ] ) the problem arose, if i t is possible
The purpose of this note is to show that the answers to Problems 2, 3, and 5 in [1] are positive, even under weaker assumptions. Keeping the notations of [1], we have Theorem 1. If : is a positive sequence on Z + which converges to a nonzero limit, then the operator A(:) has a proper invariant subsp