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In this study, we define the double sequence spaces BS, BS(t), CS p , CS bp , CS r and BV, and also examine some properties of those sequence spaces. Furthermore, we show that these sequence spaces are complete paranormed or normed spaces under some certain conditions. We determine the α-duals of the spaces BS, BV, CS bp and the β(ϑ)-duals of the spaces CS bp and CS r of double series. Finally, we give the conditions which characterize the class of four-dimensional matrix mappings defined on the spaces CS bp , CS r and CS p of double series.  2004 Elsevier Inc. All rights reserved.

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Cited by 5 publications

References 12 publications

On The Paranormed Spaces of Regularly Convergent Double Sequences

On The Paranormed Spaces of Regularly Convergent Double Sequences

On the difference spaces of almost convergent and strongly almost convergent double sequences

Some new spaces of double sequences

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