Subspaces of A-statistically convergent sequences

Author： Demirci K.   Khan M. K.   Orhan C.  

Publisher： Akademiai Kiado

ISSN： 0081-6906

Source： Studia Scientiarum Mathematicarum Hungarica, Vol.40, Iss.1-2, 2003-07, pp. : 183-190

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Abstract

Let A be a nonnegative regular summability method. In this paper we deal with various subspaces of A-statistically convergent sequences by using the rate of convergence concept. We show, under certain conditions, that these subspaces cannot be endowed with a locally convex FK-topology. We also describe multipliers for bounded A-statistically convergent and bounded A-statistically null sequences with the appropriate rate and provide a Steinhaus type result.

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