1 Ocak 2019 Dergi makalesi Açık Erişim

Uyanik, Elif; Yurdakul, Murat Hayrettin

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    <subfield code="a">A NOTE ON TRIANGULAR OPERATORS ON SMOOTH SEQUENCE SPACES</subfield>
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    <subfield code="p">OPERATORS AND MATRICES</subfield>
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    <subfield code="a">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 &amp;gt;= k, c(n)(k) = 0 if n &amp;lt; 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.</subfield>
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