Automatic continuity of biorthogonality preservers between compact C-algebras and von Neumann algebras

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• 作者：Marí ; a Burgos ; Jorge J. Garcé ; s ; Antonio M. Peralta
• 关键词：C ^; //www.sciencedirect.com/scidirimg/entities/204e.gif"" alt=""low asterisk"" title=""low asterisk"" border=""0"">-algebra ; Compact C ^; //www.sciencedirect.com/scidirimg/entities/204e.gif"" alt=""low asterisk"" title=""low as
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2011
• 出版时间：1 April 2011
• 年：2011
• 卷：376
• 期：1
• 页码：221-230
• 全文大小：197 K

文摘

We prove that every biorthogonality preserving linear surjection between two dual or compact C-algebras or between two von Neumann algebras is automatically continuous.