Some geometric properties of difference sequence spaces of order m derived by generalized means and compact operators
نویسندگان
چکیده
منابع مشابه
SOME GEOMETRIC PROPERTIES OF DIFFERENCE SEQUENCE SPACES OF ORDER m DERIVED BY GENERALIZED MEANS AND COMPACT OPERATORS
We have introduced a new sequence space l(r,s,t, p;Δ(m) ) combining by using generalized means and difference operator of order m . Some topological properties as well as geometric properties namely Banach-Saks property of type p and uniform Opial property have been studied. Furthermore, the α -, β -, γ duals of this space are computed and also obtained necessary and sufficient conditions for s...
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Abstract. This paper presents new sequence spacesX(r, s, t, p;B) forX ∈ {l∞(p), c(p), c0(p), l(p)} defined by using generalized means and difference operator. It is shown that these spaces are complete paranormed spaces and the spaces X(r, s, t, p;B) for X ∈ {c(p), c0(p), l(p)} have Schauder basis. Furthermore, the α-, β-, γduals of these sequence spaces are computed and also obtained necessary...
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*Correspondence: [email protected] 1Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia 2Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India Abstract In this paper, we characterize the matrix classes ( 1, p(F)) (1≤ p <∞), where p(F) is some Fibonacci di...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2015
ISSN: 1331-4343
DOI: 10.7153/mia-18-82