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International Conference on Applicable General Topology
August 12-18, 2001
Hacettepe University
Ankara, Turkey

Organizers
L. M. Brown (Ankara), G. Brümmer (Cape Town), M. Diker (Ankara), M. Henriksen (Claremont), R. D. Kopperman (New York), G. M. Reed (Oxford), I. L. Reilly (Auckland), S. Salbany (Pretoria), D. Spreen (Siegen)

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Some l-sequence spaces in nonarchimedean spaces
by
Metin Basarir
Sakarya University

Let F denote a nontrivially nonarchimedean valued field and E a nonarchimedean normed linear space over F. Now, we introduce and study the concept (V, l) of all l-convergent sequences of element of F using the generalized de la Vallee-Poussin l-method. Further the scope of (V, l) has been extended to (V, l)(p). Also the space (V, l)(E) of all l-convergent sequences of vectors has been dicussed.


References

  1. Basarir, M. On some new sequence spaces and related matrix transformations, Indian J. Pure Appl. Math. 26(10), 1995, 1003-1010.

  2. Malkowsky, E. and Savas, E., Some l-sequence spaces defined by a modulus, Arch. Math. 36, 2000, 219-228.

  3. Nanda, S., Matrix transformations and almost convergence, Mat. Bech. 13(28), 1976, 305-312.

  4. Rangachari, M. S. and Srinivasan, V. K., Matrix transformations in nonarchimedean fields, Indag. Math. 26, 1964, 423-429.

Date received: July 15, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagx-38.