On -envelopes of Banach spaces

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• 作者：Jes&uacute ; s M.F. Castillo^a ; ^{castillo@unex.es} ; Jes&uacute ; s Suá ; rez^b ; ^{jesus@unex.es}
• 关键词：Extension of operators ; L&infin ; -spaces
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：1 October, 2012
• 卷：394
• 期：1
• 页码：152-158
• 文件大小：255 K

摘要

Let denote any of the following classes of -spaces: -spaces, Lindenstrauss spaces, -separably injective spaces, universally -separably injective spaces, -Lindenstrauss-Pe艂czy艅ski spaces or -spaces. We show that every Banach space can be isometrically embedded into a space so that every operator with can be extended to an operator with the same norm.