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A NOTE ON TRIANGULAR OPERATORS ON SMOOTH SEQUENCE SPACES

Uyanik, Elif; Yurdakul, Murat Hayrettin


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{
  "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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