IJPAM: Volume 70, No. 5 (2011)

ON WEAK$^{\ast}$ STATISTICAL CONVERGENCE OF
SEQUENCE OF FUNCTIONALS

Indu Bala
Department of Mathematics
Government College
Chhachhrauli (Yamunanagar), 135 103, INDIA


Abstract. The main object of this paper is to introduce the concept of weak$^{\ast}$ statistical convergence of sequence of functionals in a normed space. It is shown that in a reflexive space, weak$^{\ast}$ statistically convergent sequences of functionals are the same as weakly statistically convergent sequences of functionals.

Received: November 4, 2010

AMS Subject Classification: 40A05, 40H05, 46B99

Key Words and Phrases: statistical convergence, weak statistical convergence, weak$^{\ast}$ statistical convergence, functionals

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 5