Row (column) bounded operators on operator spaces

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Abstract

We have explored some properties of row (column) bounded operators and their relations to completely bounded operators and bounded operators on operator spaces and C*-algebras. Among other results, we obtained an equivalence of a row bounded operator with a bounded bilinear operator through the Haagerup tensor product of C*-algebras. Also, we have computed norms for some row bounded operators on matrix algebras.

Original languageEnglish
Pages (from-to)2111-2120
Number of pages10
JournalInternational Journal of Mathematical Analysis
Volume4
Issue number41-44
Publication statusPublished - 2010

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Keywords

  • C*-algebra
  • Completely bounded operator
  • Haagerup tensor product
  • Matrix algebra
  • Operator space
  • Row (column) bounded operator

ASJC Scopus subject areas

  • Mathematics(all)

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