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Orlicz sequence spaces without local convexity
Mathematical Proceedings of the Cambridge Philosophical Society, 1977In this paper we continue the study of Orlicz sequence spaces initiated by Lindberg (5) and Lindenstrauss and Tzafriri (7), (8) and (9). Our main concern is to investigate features of the theory which occur when the restriction of local convexity is lifted.
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(??, ?) - Double sequence spaces via Orlicz function
2020In this paper we define and study two concepts which arise from the notions of invariant means and de la Valle-Poussin mean namely: strongly double (Ã, a)- convergence defined by Orlicz function and uniform (??, ?-statistical convergence and establish natural characterization for the underline sequence spaces.
Savaş, Ekrem, Patterson, Richard F.
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Packing spheres in Orlicz sequences spaces
The author has solved completely the problem of packing balls in Orlicz sequence spaces. A family of open balls of radius r can be packed in the unit ball of an Orlicz space if each ball is contained in the unit ball and no two balls intersect. The packing problem is to find a largest number \(\Lambda\) such that we can pack an infinite number of ballsopenaire +2 more sources
Some I-convergent sequence spaces defined by Orlicz functions
Acta Mathematicae Applicatae Sinica, 2010Binod Chandra Tripathy, Bipan Hazarika
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On the James constant and B-convexity of Cesàro and Cesàro–Orlicz sequence spaces
Journal of Mathematical Analysis and Applications, 2007Lech Maligranda +2 more
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Non-squareness properties of Orlicz–Lorentz sequence spaces
Journal of Functional Analysis, 2013Paweł Foralewski +2 more
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Vector valued double sequence spaces defined by Orlicz function
Mathematica Slovaca, 2009Binod Chandra Tripathy
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