Compact Operators on the Sets of Fractional Difference Sequences
نویسندگان
چکیده
منابع مشابه
Compact Sets and Compact Operators
Proof. Properties 2 and 3 are left to the reader. For property 1, assume that S is an unbounded compact set. Since S is unbounded, we may select a sequence {vn}n=1 such that ‖vn‖ → 0 as n→∞. Since S is compact, this sequence will have a convergent subsequence, say {vk}k=1, which will still be unbounded. This sequence is Cauchy, so there is a positive integer K for which ‖v`− vm‖ ≤ 1/2 for all `...
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Let G be a group of order v. A k-element subset D of G is called a (v,k,λ )difference set in G if for any nonidentity element g ∈ G, there are λ pairs of elements d1,d2 ∈ D such that d1d 2 = g. It is well-known that difference sets can be used to construct sequences used in digital communication. This paper is a survey on the recent developments of using difference sets and their variations to ...
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ژورنال
عنوان ژورنال: Sakarya University Journal of Science
سال: 2019
ISSN: 1301-4048
DOI: 10.16984/saufenbilder.463368