Abstract
A space of universal disposition is a Banach space which has certain natural extension properties for isometric embeddings of Banach spaces belonging to a specific class. We study spaces of universal disposition for non-archimedean Banach spaces. In particular, we introduce the classification of non-archimedean Banach spaces depending on the cardinality of maximal orthogonal sets, which can be viewed as a kind of special density and characterize spaces of universal disposition for each distinguished class.
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The research was supported partially by Ministerio de Economía y Competitividad, Grant MTM2013-45643-C2-2-P and partially by Poznań University of Technology, Grant No. 0213/SIGR/2154.
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Kubzdela, A., Perez-Garcia, C. Non-archimedean Banach spaces of universal disposition. Anal Math 49, 507–528 (2023). https://doi.org/10.1007/s10476-023-0214-6
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DOI: https://doi.org/10.1007/s10476-023-0214-6