Concepedia

Mappings of type Orlicz and generalized Cesáro sequence space

Nashat F Mohamed, Awad A. Bakery

Journal of Inequalities and Applications · 2013 · 18 citations · 16 references

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Concepts

Abstract

We study the ideal of all bounded linear operators between any arbitrary Banach spaces whose sequence of approximation numbers belong to the generalized Cesáro sequence space and Orlicz sequence space , when , ; our results coincide with that known for the classical sequence space .

References

16

On orlicz sequence spaces

Joram Lindenstrauss, Lior Tzafriri · Israel Journal of Mathematics · 1971 · 492 citations

, , +1

Sequence spaces defined by a modulus

I. J. Maddox · Mathematical Proceedings of the Cambridge Philosophical Society · 1986 · 298 citations

, , +4

<i>FK</i> Spaces in Which the Sequence of Coordinate Vectors is Bounded

William H. Ruckle · Canadian Journal of Mathematics · 1973 · 286 citations · Full text

, , +7

Concave modulars.

Hidegorô Nakano · Journal of the Mathematical Society of Japan · 1953 · 157 citations · Full text

, , +5

Matrix transformations between some classes of sequences

Constantine G. Lascarides, I. J. Maddox · Mathematical Proceedings of the Cambridge Philosophical Society · 1970 · 133 citations

, , +6