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A Note on Duality in the FK-Spaces
Subject area: Science,Engineering and Technology · Area of research: mathematics
Abstract
We define a subspace X0 ?X where X a semi conservative space, discus and derive some inclusion properties between the ??, ?? and f? duals of the subspace and the duals of space X. We show that for equality of the duals to hold, X must have the semi conservative property.
References
[1] ET M. On Some Difference Sequence Spaces. Tr. J. of Math. 17 (1993), 18-24.
[2] Rifat Q. and ET M, On Some Generalized Difference Sequence Spaces. Soochow J. of Math. 21 (4), (1995), 377-386.
[3] Kamthan P.K. and Gupta M., Sequence Spaces and Series. Marcel Dekker Inc. New York, (1981).
[4] Kizmaz H., On Certain Sequence Spaces. Canad. Math. Bull. 24(2) (1981), 169-176.
How to cite this paper
@article{1702623,
author = {Lucy Walingo Chikamai},
title = {A Note on Duality in the FK-Spaces},
journal = {Iconic Research And Engineering Journals},
year = {2021},
volume = {4},
number = {9},
pages = {53-56},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702623.pdf},
abstract = {We define a subspace X0 ?X where X a semi conservative space, discus and derive some inclusion properties between the ??, ?? and f? duals of the subspace and the duals of space X. We show that for equality of the duals to hold, X must have the semi conservative property.},
month = {March},
}