Some Steinhaus type theorems over valued fields

P.N. Natarajan

Annales mathématiques Blaise Pascal (1996)

  • Volume: 3, Issue: 2, page 183-188
  • ISSN: 1259-1734

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Natarajan, P.N.. "Some Steinhaus type theorems over valued fields." Annales mathématiques Blaise Pascal 3.2 (1996): 183-188. <http://eudml.org/doc/79163>.

@article{Natarajan1996,
author = {Natarajan, P.N.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {sequences spaces; non-archimedean analysis; infinite matrices},
language = {eng},
number = {2},
pages = {183-188},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Some Steinhaus type theorems over valued fields},
url = {http://eudml.org/doc/79163},
volume = {3},
year = {1996},
}

TY - JOUR
AU - Natarajan, P.N.
TI - Some Steinhaus type theorems over valued fields
JO - Annales mathématiques Blaise Pascal
PY - 1996
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 3
IS - 2
SP - 183
EP - 188
LA - eng
KW - sequences spaces; non-archimedean analysis; infinite matrices
UR - http://eudml.org/doc/79163
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 ] J.A. Fridy, Properties of absolute summability matrices, Proc. Amer. Math. Soc.24 (1970), 583-585. Zbl0187.32103MR265815
  3. [3 ] I.J. Maddox, On theorems of Steinhaus type , J. London Math. Soc.42 (1967), 239-244. Zbl0145.28802MR212443
  4. [4 ] I.J. Maddox, Elements of Functional Analysis, Cambridge University Press, 1977. Zbl0347.46009
  5. [5 ] A.F. Monna, Sur le théorème de Banach-Steinhaus, Indag. Math.25 (1963), 121-131. Zbl0121.32703MR151823
  6. [6 ] P.N. Natarajan, The Steinhaus theorem for Toeplitz matrices in non-archimedean fields, Comment. Math. Prace Mat.20 (1978), 417-422. Zbl0401.40005MR519377
  7. [7 ] P.N. Natarajan, Characterization of a class of infinite matrices with applications, Bull. Austral. Math. Soc.34 (1986), 161-175. Zbl0583.46063MR854563
  8. [8 ] P.N. Natarajan, A Steinhaus type theorem, Proc. Amer. Math. Soc.99 (1987), 559-562. Zbl0633.40006MR875397
  9. [9 ] P.N. Natarajan, Criterion for regular matrices in non-archimedean fields, J. Ramanujan Math. Soc.6 (1991), 185-195. Zbl0751.40003MR1132355
  10. [10 ] P.N. Natarajan, Characterization of some special classes of infinite matrices over non-archimedean fields, Indian J. Math.34 (1992), 45-51. Zbl0789.40005MR1211519
  11. [11 ] M. Stieglitz, H. Tietz, Matrixtransformationen von Folgenrämen Eine Ergebnisübersicht, Math. Z.154 (1977), 1-16. Zbl0331.40005MR446785

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