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Local uniform rotundity in Musielak-Orlicz sequence space equipped with the Luxemburg norm

100%

Wang J. M., Liu X. B., Cui Y. A.

Commentationes Mathematicae

2006

tom 46

nr 1

In this paper, we present criteria for local uniform rotundity and weak local uniform rotundity in Musielak-Orlicz sequence spaces equipped with the Luxemburg norm.

Non-square points of Orlicz-Lorentz function spaces

75%

Kończak J.

Commentationes Mathematicae

2019

tom 59

nr 1-2

In this paper, criteria for non-square points in Orlicz−Lorentz function spaces \(\Lambda_{\varphi, \omega}\) endowed with the Luxemburg norm are given. The widest possible classes of convex Orlicz functions and weight functions are admitted. In consequence, criteria for non-square points in Orlicz spaces \(L^{\varphi}\), which generalize the already known results, are presented.

Some Structures Related to Metric Projections in Orlicz Spaces

51%

Lin B.-L., Shi Z.

Colloquium Mathematicum

1999

tom 81

nr 2

223-235

We discuss k-rotundity, weak k-rotundity, C-k-rotundity, weak C-k-rotundity, k-nearly uniform convexity, k-β property, C-I property, C-II property, C-III property and nearly uniform convexity both pointwise and global in Orlicz function spaces equipped with Luxemburg norm. Applications to continuity for the metric projection at a given point are given in Orlicz function spaces with Luxemburg norm.

Ograniczanie wyników

2 Commentationes Mathematicae

1 Colloquium Mathematicum

1 Cui Y. A.

1 Kończak J.

1 Lin B.-L.

1 Liu X. B.

1 Shi Z.

1 Wang J. M.

1 2019

1 2006

1 1999

Wyniki wyszukiwania

Local uniform rotundity in Musielak-Orlicz sequence space equipped with the Luxemburg norm

Non-square points of Orlicz-Lorentz function spaces

Some Structures Related to Metric Projections in Orlicz Spaces