On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings |
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Authors: | Başar F Altay B |
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Institution: | (1) Inönü Üniv., Turkey |
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Abstract: | The difference sequence spaces (), c(), and c
0() were studied by Kzmaz. The main purpose of the present paper is to introduce the space bv
p consisting of all sequences whose differences are in the space
p
, and to fill up the gap in the existing literature. Moreover, it is proved that the space bv
p is the BK-space including the space
p
. We also show that the spaces bv
p and
p
are linearly isomorphic for 1 p . Furthermore, the basis and the -, -, and -duals of the space bv
p are determined and some inclusion relations are given. The last section of the paper is devoted to theorems on the characterization of the matrix classes (bv
p : ), (bv :
p
), and (bv
p : 1), and the characterizations of some other matrix classes are obtained by means of a suitable relation. |
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Keywords: | |
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