Some more Steinhaus type theorems over valued fields

P.N. Natarajan

Annales mathématiques Blaise Pascal (1999)

  • Volume: 6, Issue: 1, page 47-54
  • ISSN: 1259-1734

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Natarajan, P.N.. "Some more Steinhaus type theorems over valued fields." Annales mathématiques Blaise Pascal 6.1 (1999): 47-54. <http://eudml.org/doc/79207>.

@article{Natarajan1999,
author = {Natarajan, P.N.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {sequence space; infinite matrix; Steinhaus theorem},
language = {eng},
number = {1},
pages = {47-54},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Some more Steinhaus type theorems over valued fields},
url = {http://eudml.org/doc/79207},
volume = {6},
year = {1999},
}

TY - JOUR
AU - Natarajan, P.N.
TI - Some more Steinhaus type theorems over valued fields
JO - Annales mathématiques Blaise Pascal
PY - 1999
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 6
IS - 1
SP - 47
EP - 54
LA - eng
KW - sequence space; infinite matrix; Steinhaus theorem
UR - http://eudml.org/doc/79207
ER -

References

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  1. [1] G. Bachman, Introduction to p-adic numbers and valuation theory, Academic Press, 1964. Zbl0192.40103MR169847
  2. [2] A. Escassut, Analytic elements in p-adic analysis, World Scientific Publishing Co., 1995. Zbl0933.30030MR1370442
  3. [3] I.J. Maddox, On theorems of Steinhaus type, J. London Math. Soc.42 (1967), 239-244. Zbl0145.28802MR212443
  4. [4] P.N. Natarajan, The Steinhaus theorem for Toeplitz matrices in non-archimedean fields, Comment. Math. Prace Mat.20 (1978), 417-422. Zbl0401.40005MR519377
  5. [5] P.N. Natarajan, Some Steinhaus type theorems over valued fields, Ann. Math. Blaise Pascal3 (1996), 183-188. Zbl0897.46062MR1435323
  6. [6] M. Stieglitz, H. Tietz, Matrix transformationen von Folgenräumen Eine Ergebnisübersicht, Math. Z.154 (1977), 1-16. Zbl0331.40005MR446785

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