Proyecciones Journal of Mathematics Vol. 31, N^o 3, pp. 209-217, September 2012. Universidad Católica del Norte Antofagasta - Chile

 

Bounded linear operators for some new matrix transformations

M. Aiyub

University of Bahrain, Kingdom of Bahrain

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ABSTRACT

In this paper, we define (ó, 0)-convergence and characterize (ó, è)-conservative, (ó, 0)-regular, (ó, 0)-coercive matrices and we also determine the associated bounded linear operators for these matrix classes.

Keywords: Sequence spaces; invariant mean; matrix transformation; bounded linear operators.

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M. Aiyub

Department of Mathematics, University of Bahrain,

P.O. Box-32038,

Kingdom of Bahrain

e-mail : maiyub2002@yahoo.com

 

Received : March 2012. Accepted : April 2012

Supported by Project 14/2011.