Abstract

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.

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