The associated tensor norm to (q,p)-absolutely summing operators on C(K)-Spaces

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• 作者：Molina ; J. A. L&oacute ; pez ; Pé ; rez ; E. A. Sá ; nchez
• 刊名：Czechoslovak Mathematical Journal
• 出版年：1997
• 出版时间：1997
• 年：1997
• 卷：47
• 期：4
• 页码：627-631
• 全文大小：246 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  Convex and Discrete Geometry
  Ordinary Differential Equations
  Mathematical Modeling and IndustrialMathematics
  
• 出版者：Springer Netherlands
• ISSN：1572-9141

文摘

We give an explicit description of a tensor norm equivalent on $\{\backslash mathscr\; C\}(K)\; \backslash otimes\; F$ to the associated tensor norm ν_qp to the ideal of (g,p)-absolutely summing operators. As a consequence, we describe a tensor norm on the class of Banach spaces which is equivalent to the left projective tensor norm associated to ν_qp.