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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

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📜 SIMILAR VOLUMES


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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

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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