A characterization of the spherically complete normed spaces with a distinguished basis

Jose M. Bayod; J. Martinez Maurica

Compositio Mathematica (1983)

  • Volume: 49, Issue: 1, page 143-145
  • ISSN: 0010-437X

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Bayod, Jose M., and Martinez Maurica, J.. "A characterization of the spherically complete normed spaces with a distinguished basis." Compositio Mathematica 49.1 (1983): 143-145. <http://eudml.org/doc/89603>.

@article{Bayod1983,
author = {Bayod, Jose M., Martinez Maurica, J.},
journal = {Compositio Mathematica},
keywords = {normed spaces over a trivially valued field; distinguished basis; orthogonal basis; valued space; spherically complete valued spaces},
language = {eng},
number = {1},
pages = {143-145},
publisher = {Martinus Nijhoff Publishers},
title = {A characterization of the spherically complete normed spaces with a distinguished basis},
url = {http://eudml.org/doc/89603},
volume = {49},
year = {1983},
}

TY - JOUR
AU - Bayod, Jose M.
AU - Martinez Maurica, J.
TI - A characterization of the spherically complete normed spaces with a distinguished basis
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 49
IS - 1
SP - 143
EP - 145
LA - eng
KW - normed spaces over a trivially valued field; distinguished basis; orthogonal basis; valued space; spherically complete valued spaces
UR - http://eudml.org/doc/89603
ER -

References

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  1. [1] W.A.J. Luxemburg: On a class of valuation fields introduced by A. Robinson. Israel J. Math.25 (1976) 189-201. Zbl0341.12106MR460102
  2. [2] A.F. Monna: Analyse non-archimédienne, Springer-Verlag, Berlin, 1970. Zbl0203.11501MR295033
  3. [3] P. Robert: On some non-archimedean normed linear spaces, I, II, ..., VI. Comp. Math.19 (1968) 1-77. Zbl0153.44101MR226368
  4. [4] A.C.M. Van Rooij: Non-archimedean functional analysis, Marcel Dekker, Inc., New York, 1978. Zbl0396.46061MR512894
  5. [5] K.-W. Yang: On the existence of distinguished bases in a V-space. Comp. Math.23 (1971) 307-308. Zbl0218.46006MR301482

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