A note on the admissibility of modular function spaces

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• 作者：Diana Caponetti^a ; ^{diana.caponetti@unipa.it} ; Grzegorz Lewicki^b ; ^{Grzegorz.Lewicki@im.uj.edu.pl}
• 关键词：Admissible space ; Modular function space ; Fixed point
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 April 2017
• 年：2017
• 卷：448
• 期：2
• 页码：1331-1342
• 全文大小：346 K
• 卷排序：448

文摘

In this paper we prove the admissibility of modular function spaces EρEρ considered and defined by Kozłowski in [17]. As an application we get that any compact and continuous mapping T:Eρ→EρT:Eρ→Eρ has a fixed point. Moreover, we prove that the same holds true for any retract of EρEρ.