Search results for: Marek Wisła

Items from 1 to 7 out of 7 results

article

M-Constants, Dominguez-Benavides coefficient, and weak fixed point property in Orlicz sequence spaces equipped with the p-Amemiya norm

Yunan Cui, Henryk Hudzik, Marek Wisła

Fixed Point Theory and Applications > 2016 > 2016 > 1 > 1-14

In this paper, a formula for the M-constants μ n ( l Φ , p ) $\mu_{n}(l_{\Phi,p})$ of Orlicz sequence spaces l Φ , p $l_{\Phi,p}$ equipped with the p-Amemiya norm as well as for the equalities μ n ( l Φ , p ) = n $\mu_{n}(l_{\Phi,p})=n$ for any n ∈ N $n\in \mathcal{N}$ are given. Moreover, the Fatou property, weak orthogonality, and the weak fixed point...

article

Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the p-Amemiya norm

Yunan Cui, Henryk Hudzik, Marek Wisła

Journal of Mathematical Analysis and Applications > 2015 > 432 > 2 > 1095-1105

In this paper strict monotonicity, lower and upper uniform monotonicities, uniform monotonicity as well as decreasing and increasing uniform monotonicities of Orlicz spaces equipped with the p-Amemiya norm are studied. Criteria for these six properties in the Orlicz spaces LΦ,p are given in the most general case of Orlicz function Φ and for all 1≤p≤∞. Finally, some applications of the results to the...

article

Geometric properties of Orlicz spaces equipped with $p$-Amemiya norms − results and open questions

Marek Wisła

Commentationes Mathematicae > 2015 > 55 > 2

The classical Orlicz and Luxemburg norms generated by an Orlicz function $\Phi$ can be defined with the use of the Amemiya formula [H. Hudzik and L. Maligranda, Amemiya norm equals Orlicz norm in general, Indag. Math. 11 (2000), no. 4, 573-585]. Moreover, in this article Hudzik and Maligranda suggested investigating a family of p-Amemiya norms defined by the formula \(\|x\|_{\Phi,p}=\inf_{k>0}...

article

Non-squareness properties of Orlicz spaces equipped with the p-Amemiya norm

Yunan Cui, Henryk Hudzik, Marek Wisła, Karol Wlaźlak

Nonlinear Analysis > 2012 > 75 > 10 > 3973-3993

This paper is a continuation of the studies from Cui et al. (2008) [7] and Cui et al. (2009) [12]. Non-squareness, uniform non-squareness, locally uniform non-squareness of Orlicz spaces equipped with the p-Amemiya norm are studied. Criteria for these three properties in the Orlicz spaces LΦ,p are given in the most general case of Orlicz function Φ and for all 1≤p≤∞.

article

Strongly extreme points in Orlicz spaces equipped with the p-Amemiya norm

Yunan Cui, Henryk Hudzik, Jingjing Li, Marek Wisła

Nonlinear Analysis > 2009 > 71 > 12 > 6343-6364

This paper is a continuation of the paper [Y. Cui, L. Duan, H. Hudzik, M. Wisła, Basic theory of p-Amemiya norm in Orlicz spaces (1≤p≤∞): Extreme points and rotundity in Orlicz spaces equipped with these norms, Nonlinear Anal. 69 (2008) 1796–1816] and an extension of the paper [Y. Cui, T. Wang, Strongly extreme points of Orlicz space, J. Math. 4 (1987) 335-340]. Criteria for the Kadec–Klee property...

article

Basic theory of p-Amemiya norm in Orlicz spaces (1≤p≤∞): Extreme points and rotundity in Orlicz spaces endowed with these norms

Yunan Cui, Lifen Duan, Henryk Hudzik, Marek Wisła

Nonlinear Analysis > 2008 > 69 > 5-6 > 1796-1816

In any modular space generated by a convex modular we define a family of new norms (called p-Amemiya norms) which are equivalent to the Orlicz norm as well as to the Luxemburg norm. Next, the new case of Orlicz spaces is studied carefully. The attainable points of the p-Amemiya norm in Orlicz function spaces generated by N-functions are discussed. The intervals for p-Amemiya norm attainability are...

article

Approximative compactness and continuity of metric projector in Banach spaces and applications

ShuTao Chen, Henryk Hudzik, Wojciech Kowalewski, YuWen Wang, more

Science China Mathematics > 2008 > 51 > 2 > 293-303

First we prove that the approximative compactness of a nonempty set C in a normed linear space can be reformulated equivalently in another way. It is known that if C is a semi-Chebyshev closed and approximately compact set in a Banach space X, then the metric projector π _C from X onto C is continuous. Under the assumption that X is midpoint locally uniformly rotund, we prove that the approximative...

Filter options

Publication date

Set your own date range

INFONA - science communication portal

Search results for: Marek Wisła

M-Constants, Dominguez-Benavides coefficient, and weak fixed point property in Orlicz sequence spaces equipped with the p-Amemiya norm

Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the p-Amemiya norm

Geometric properties of Orlicz spaces equipped with \(p\)-Amemiya norms − results and open questions

Non-squareness properties of Orlicz spaces equipped with the p-Amemiya norm

Strongly extreme points in Orlicz spaces equipped with the p-Amemiya norm

Basic theory of p-Amemiya norm in Orlicz spaces (1≤p≤∞): Extreme points and rotundity in Orlicz spaces endowed with these norms

Approximative compactness and continuity of metric projector in Banach spaces and applications

Filter options

Publication date

Keywords

Data set

Journal

INFONA - science communication portal

Search results for: Marek Wisła

M-Constants, Dominguez-Benavides coefficient, and weak fixed point property in Orlicz sequence spaces equipped with the p-Amemiya norm

Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the p-Amemiya norm

Geometric properties of Orlicz spaces equipped with \(p\)-Amemiya norms − results and open questions

Non-squareness properties of Orlicz spaces equipped with the p-Amemiya norm

Strongly extreme points in Orlicz spaces equipped with the p-Amemiya norm

Basic theory of p-Amemiya norm in Orlicz spaces (1≤p≤∞): Extreme points and rotundity in Orlicz spaces endowed with these norms

Approximative compactness and continuity of metric projector in Banach spaces and applications

Add recipient

Sending message cancelled

Are you sure you want to cancel sending this message?

Send message

Filter options

Publication date

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

Keywords

Data set

Journal

Reporting an error / abuse

Sending the report failed

Accessibility options