Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics
Online ISSN : 1883-2172
Print ISSN : 0373-6385
ISSN-L : 0373-6385
L0-EMBEDDING OF A LINEAR METRIC SPACE
Yoshiaki OKAZAKI
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1979 Volume 33 Issue 2 Pages 391-398

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Abstract

A characterization of the linear metric space with an equivalent accessible metric is given. It is shown that a linear metric space E has an equivalent accessible metric if and only if E can be embedded isomorphically into L0. Every subspace of the countable product of the L0-embeddable spaces can also be embedded isomorphically into L0.

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© 1979 by Department of Mathematics, Faculty of Science, Kyushu University
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