Dergi makalesi Açık Erişim
Uyanik, Elif; Yurdakul, Murat Hayrettin
{ "DOI": "10.7153/oam-2019-13-24", "abstract": "For a scalar sequence (theta(n))(n is an element of N), let C be the matrix defined by c(n)(k) = theta(n-k+1) if n >= k, c(n)(k) = 0 if n < k. The map between Kothe spaces lambda(A) and lambda(B) is called a Cauchy Product map if it is determined by the triangular matrix C. In this note we introduced some necessary and sufficient conditions for a Cauchy Product map on a nuclear Kothe space lambda(A) to nuclear G(1) - space lambda(B) to be linear and continuous. Its transpose is also considered.", "author": [ { "family": "Uyanik", "given": " Elif" }, { "family": "Yurdakul", "given": " Murat Hayrettin" } ], "container_title": "OPERATORS AND MATRICES", "id": "75435", "issue": "2", "issued": { "date-parts": [ [ 2019, 1, 1 ] ] }, "page": "343-347", "title": "A NOTE ON TRIANGULAR OPERATORS ON SMOOTH SEQUENCE SPACES", "type": "article-journal", "volume": "13" }
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