Non-reflexive and non-spherically complete subspaces of the p-adic space l∞

Autor:	C. Perez-Garcia, W.H. Schikhof
Rok vydání:	1995
Předmět:	Section (fiber bundle) Pure mathematics Mathematics(all) Tensor product General Mathematics Mathematical analysis Banach space Space (mathematics) Linear subspace Mathematics
Zdroj:	Indagationes Mathematicae. 6(1):121-127
ISSN:	0019-3577
DOI:	10.1016/0019-3577(95)98205-p
Popis:	By forming tensor products we construct natural examples of non-reflexive (Section 2) and nonspherically complete (Section 3) closed subspaces of the non-archimedean space l ∞ . Also, we study (Section 4) conditions under which two spherically complete Banach spaces are isomorphic; as an application we describe the spherical completion of the subspaces of l ∞ constructed in the paper.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8b2ab18398126ff1f5bf2abfdcf46ea Zobrazit plný text záznamu Full Text from ScienceDirect