Addendum to a theorem of Yakubovich
✍ Scribed by Aristide Halanay; Vladimir Rǎsvan
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 210 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0167-6911
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In our earlier paper we gave a sharp lower-bound estimate for the cardinality of hA=A+ } } } +A (A being a finite set of integers). It appears that certain applications require this estimate to be generalized for the case of distinct summands. Below we obtain such a generalization by estimating the
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