scholarly journals Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Nashat Faried ◽  
Awad A. Bakery
Keyword(s):  
Sequence Spaces ◽  
Operator Ideals ◽  
Orlicz Sequence Spaces

Generalized Orlicz-Lorentz sequence spaces and corresponding operator ideals

2014 ◽  
Vol 64 (6) ◽  
Author(s):  
Manjul Gupta ◽  
Antara Bhar
Keyword(s):  
Banach Space ◽  
Structural Properties ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Operator Ideals ◽  
Orlicz Sequence Spaces ◽  
Vector Valued

AbstractIn this paper we introduce generalized or vector-valued Orlicz-Lorentz sequence spaces l p,q,M(X) on Banach space X with the help of an Orlicz function M and for different positive indices p and q. We study their structural properties and investigate cross and topological duals of these spaces. Moreover these spaces are generalizations of vector-valued Orlicz sequence spaces l M(X) for p = q and also Lorentz sequence spaces for M(x) = x q for q ≥ 1. Lastly we prove that the operator ideals defined with the help of scalar valued sequence spaces l p,q,M and additive s-numbers are quasi-Banach operator ideals for p < q and Banach operator ideals for p ≥ q. The results of this paper are more general than the work of earlier mathematicians, say A. Pietsch, M. Kato, L. R. Acharya, etc.

scholarly journals Local rotundity structure of Cesàro–Orlicz sequence spaces

2008 ◽  
Vol 345 (1) ◽  
pp. 410-419 ◽  
Author(s):  
Paweł Foralewski ◽  
Henryk Hudzik ◽  
Alicja Szymaszkiewicz
Keyword(s):  
Sequence Spaces ◽  
Orlicz Sequence Spaces

λ-Properties of Orlicz sequence spaces

1994 ◽  
Vol 59 (3) ◽  
pp. 239-249 ◽  
Author(s):  
Shutao Chen ◽  
Huiying Sun
Keyword(s):  
Sequence Spaces ◽  
Orlicz Sequence Spaces

Uniformly non-l n (1) Musielak-Orlicz sequence spaces

1991 ◽  
Vol 101 (2) ◽  
pp. 71-86 ◽  
Author(s):  
Manfred Denker ◽  
Henryk Hudzik
Keyword(s):  
Sequence Spaces ◽  
Orlicz Sequence Spaces
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