Some Steinhaus type theorems over valued fields
Annales Mathématiques Blaise Pascal, Volume 3 (1996) no. 2, pp. 183-188.
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     title = {Some {Steinhaus} type theorems over valued fields},
     journal = {Annales Math\'ematiques Blaise Pascal},
     pages = {183--188},
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     url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.75/}
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P.N. Natarajan. Some Steinhaus type theorems over valued fields. Annales Mathématiques Blaise Pascal, Volume 3 (1996) no. 2, pp. 183-188. doi : 10.5802/ambp.75. https://ambp.centre-mersenne.org/articles/10.5802/ambp.75/

[1 ] G. Bachman, Introduction to p-adic numbers and valuation theory, Academic Press, 1964. | MR: 169847 | Zbl: 0192.40103

[2 ] J.A. Fridy, Properties of absolute summability matrices, Proc. Amer. Math. Soc. 24 (1970), 583-585. | MR: 265815 | Zbl: 0187.32103

[3 ] I.J. Maddox, On theorems of Steinhaus type , J. London Math. Soc. 42 (1967), 239-244. | MR: 212443 | Zbl: 0145.28802

[4 ] I.J. Maddox, Elements of Functional Analysis, Cambridge University Press, 1977. | Zbl: 0347.46009

[5 ] A.F. Monna, Sur le théorème de Banach-Steinhaus, Indag. Math. 25 (1963), 121-131. | MR: 151823 | Zbl: 0121.32703

[6 ] P.N. Natarajan, The Steinhaus theorem for Toeplitz matrices in non-archimedean fields, Comment. Math. Prace Mat. 20 (1978), 417-422. | MR: 519377 | Zbl: 0401.40005

[7 ] P.N. Natarajan, Characterization of a class of infinite matrices with applications, Bull. Austral. Math. Soc. 34 (1986), 161-175. | MR: 854563 | Zbl: 0583.46063

[8 ] P.N. Natarajan, A Steinhaus type theorem, Proc. Amer. Math. Soc. 99 (1987), 559-562. | MR: 875397 | Zbl: 0633.40006

[9 ] P.N. Natarajan, Criterion for regular matrices in non-archimedean fields, J. Ramanujan Math. Soc. 6 (1991), 185-195. | MR: 1132355 | Zbl: 0751.40003

[10 ] P.N. Natarajan, Characterization of some special classes of infinite matrices over non-archimedean fields, Indian J. Math. 34 (1992), 45-51. | MR: 1211519 | Zbl: 0789.40005

[11 ] M. Stieglitz, H. Tietz, Matrixtransformationen von Folgenrämen Eine Ergebnisübersicht, Math. Z. 154 (1977), 1-16. | MR: 446785 | Zbl: 0331.40005

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