PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 9

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  Luxemburg norm
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote Non-square points of Orlicz-Lorentz function spaces
Kończak Joanna
Commentationes Mathematicae
|
2019
|
Vol. 59, No. 1/2
1--17
EN
In this paper, criteria for non-square points in Orlicz-Lorentz function spaces Λφ,ω 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 Lφ, which generalize the already known results, are presented.
2
Content available Asymptotically isometric copies of c0 in Musielak-Orlicz spaces
Narloch A., Szymaszkiewicz L.
Opuscula Mathematica
|
2014
|
Vol. 34, no. 1
161--169
EN
Criteria in order that a Musielak-Orlicz function space Lφ as well as Musielak-Orlicz sequence space lφ contains an asymptotically isometric copy of c0 are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki, Order asymptotically isometric copies of c0 in the subspaces of order continuous elements in Orlicz spaces, Journal of Convex Analysis 21 (2014)] to Musielak-Orlicz spaces.
3
Content available remote K-extreme point of generalized Orlicz sequence spaces with Luxemburg norm
Shi Z., Wang X.
Commentationes Mathematicae
|
2013
|
Vol. 53, No. 2
147--162
EN
In this paper,we give necessary and sufficient conditions in order that a point u∈S(l(Φ)) is a k-extreme point in generalized Orlicz sequence spaces equipped with the Luxemburg norm, combing the methods used in classical Orlicz spaces and new methods introduced especially for generalized ones. The results indicate the difference between the classical Orlicz spaces and generalized Orlicz spaces.
4
Content available remote Local uniform rotundity in Musielak-Orlicz sequence space equipped with the Luxemburg norm
Wang J.M., Liu X.B., Cui Y.A.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2006
|
Vol. 46, [Z] 1
131-139
EN
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.
5
Content available remote Orlicz-Bochner sequence spaces that have the uniform λ-property
Shi Z., Zhang P.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2004
|
Vol. 44, nr spec.
215-227
EN
Necessary and sufficient conditions in order that Orlicz-Bochner sequence spaces equipped with Luxemburg norm have the uniform [lambda] property are given.
6
Content available remote On the structure of the set of best ||.||Φ-approximants
Mazzone F.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2002
|
[Z] 42(1)
87-102
EN
Certain properties of Fi-approximants and || || (fi)-approximants were studied by Landers and Rogge, where || || (fi) is the Luxemburg norm. In particular, they investigated the existence of best ||.|| (fi)-approximants and the structure of the . set of best ||.||(fi)-approximants. These authors proved that the set of best ||.||(fi)-approximants of f given a Fi-closed lattice C is a lattice. In this paper we show that this result does not hold if we consider the Orlicz norm in place of the Luxemburg norm. Furthermore, we see that for a large class of functions Fi and measurable spaces the following statements are equivalent: 1) the set of all best || || (fi)-approximants to f in C is a lattice, for every Fi-closed lattice C and f L_fi. 2) (L_fi,,||.||fi) = (L_p,m||.||_p), for some m > 0 and 1 < p < oo.
7
Content available remote On theorem of Grothendieck type
Narloch A.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2001
|
[Z] 41
143-146
8
Content available remote Continuity of the metric projection in Orlicz space
Teng Y., Wang T., Li M.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
1999
|
[Z] 39
109-116
EN
Let (f(n)) be a sequence of functions converging in norm to f in some rotund Orlicz function or se-quence space endowed with the Luxemburg norm or the Orlicz norm, and let (C(n)) be a sequence of convex sets satisfying some condition and tending in suitable way to a ser C. Then the best norm approximation of f(n) with respect to C(n) converges in norm to the best approximation of f with respect to C.
9
Content available remote Haar system as a Schauder basis in Lp(x,y),q(y) (I)
Pietrzyk B.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
1998
|
[Z] 38
109-114
EN
In this paper we define Lp(x,y),q(y) (I). We investigate some condition of this space.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.