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A NOTE ON TRIANGULAR OPERATORS ON SMOOTH SEQUENCE SPACES

Uyanik, Elif; Yurdakul, Murat Hayrettin


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<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Uyanik, Elif</dc:creator>
  <dc:creator>Yurdakul, Murat Hayrettin</dc:creator>
  <dc:date>2019-01-01</dc:date>
  <dc: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 &gt;= k, c(n)(k) = 0 if n &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.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/75435</dc:identifier>
  <dc:identifier>oai:zenodo.org:75435</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>OPERATORS AND MATRICES 13(2) 343-347</dc:source>
  <dc:title>A NOTE ON TRIANGULAR OPERATORS ON SMOOTH SEQUENCE SPACES</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
</oai_dc:dc>
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