IJPAM: Volume 106, No. 1 (2016)

KÖTHE-TOEPLITZ DUALS OF SOME DIFFERENCE
SEQUENCE SPACES AND THEIR MATRIX
TRANSFORMATIONS OVER NON-ARCHIMEDEAN FIELDS

J. Uma$^1$, V. Srinivasan$^2$
$^{1,2}$Department of Mathematics
SRM University
Kattankulathur, Chennai, 603 203, INDIA


Abstract. In this paper we give Köthe-Toeplitz duals of some difference sequence spaces and their inclusion relations using matrix transformations when the sequences, series and the infinite matrices have their entries in a complete non-trivially valued non-archimedean field $K$.

Received: June 2, 2015

AMS Subject Classification: 40A05, 40C05, 46A45, 46S10

Key Words and Phrases: sequence spaces, difference sequence spaces, Köthe-Toeplitz duals

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DOI: 10.12732/ijpam.v106i1.28 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 1
Pages: 347 - 354


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