Bayod, Jose M.; Martinez Maurica, J. A characterization of the spherically complete normed spaces with a distinguished basis. (English) Zbl 0523.46049 Compos. Math. 49, 143-145 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis 46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces 12J10 Valued fields Keywords:normed spaces over a trivially valued field; distinguished basis; orthogonal basis; valued space; spherically complete valued spaces Citations:Zbl 0153.441 PDF BibTeX XML Cite \textit{J. M. Bayod} and \textit{J. Martinez Maurica}, Compos. Math. 49, 143--145 (1983; Zbl 0523.46049) Full Text: Numdam EuDML OpenURL References: [1] W.A.J. Luxemburg : On a class of valuation fields introduced by A. Robinson . Israel J. Math. 25 (1976) 189-201. · Zbl 0341.12106 [2] A.F. Monna : Analyse non-archimédienne , Springer-Verlag, Berlin, 1970. · Zbl 0203.11501 [3] P. Robert : On some non-archimedean normed linear spaces, I, II, ..., VI . Comp. Math. 19 (1968) 1-77. · Zbl 0153.44101 [4] A.C.M. Van Rooij : Non-archimedean functional analysis , Marcel Dekker, Inc., New York, 1978. · Zbl 0396.46061 [5] K.-W. Yang : On the existence of distinguished bases in a V-space . Comp. Math. 23 (1971) 307-308. · Zbl 0218.46006 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.