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A NOTE ON TRIANGULAR OPERATORS ON SMOOTH SEQUENCE SPACES

Uyanik, Elif; Yurdakul, Murat Hayrettin


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        "affiliation": "Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey", 
        "name": "Uyanik, Elif"
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        "affiliation": "Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey", 
        "name": "Yurdakul, Murat Hayrettin"
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    "description": "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.", 
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