Continuity of linear maps on -spaces

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• 作者：Jes&#xfa ; s M.F. Castillo^a ; ^{castillo@unex.es"" rel=""nofollow} ; Manuel Gonzá ; lez^b ; ^{manuel.gonzalez@unican.es"" rel=""nofollow}
• 关键词：Extension of operators ; Linear non-continuous maps ; Banach spaces
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 出版时间：1 January 2012
• 年：2012
• 卷：385
• 期：1
• 页码：12-15
• 全文大小：123 K

文摘

We present a characterization of -spaces in terms of the continuity of c₀-valued linear maps on dense subspaces. This provides a complete solution to a question investigated by Bogachev, Kircheim, Schachermayer and Shkarin.