AbstractIn this paper several monotonicity properties of the Luxemburg norm in Musielak-Orlicz spaces Lφ(μ) and Eφ(μ) over nonatomic measure spaces are characterized in terms of the function φ. For Lφ(μ) it is proved that all these properties coincide with the absolute continuity of the norm and φ > 0. Some applications to best approximation are given, even for general Banach lattices
summary:We give necessary and sufficient conditions for weak uniform rotundity of Mu\-sie\-lak--Orli...
A formula for the distance of an arbitrary element $x$ in Musielak-Orlicz space $L^\Phi$ from the su...
summary:Support functionals in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are c...
AbstractIn this paper several monotonicity properties of the Luxemburg norm in Musielak-Orlicz space...
Characterizations of various monotonicity properties (UM, LUM, STM) in the sequential Orlicz spaces ...
AbstractCriteria for strict monotonicity, lower local uniform monotonicity, upper local uniform mono...
Criteria for strict monotonicity, upper (lower) locally uniform monotonicity and uniform monotonicit...
The criteria for uniform monotonicity, locally uniformly monotonicity and monotonicity of of Orlicz ...
AbstractCriteria for strict monotonicity, lower local uniform monotonicity, upper local uniform mono...
AbstractCriteria for strict monotonicity, upper (lower) locally uniform monotonicity and uniform mon...
A formula for the distance of an arbitrary element x in Musielak-Orlicz space LΦ from the subspace E...
summary:We prove the continuity in norm of the translation operator in the Musielak-Orlicz $L_{M}$ s...
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left l...
The criteria foruniform monotonicity, locally uniformly monotonic-ity and monotonicity of of Oríicz ...
summary:In this paper we extend the result of [6] on the characteristic of convexity of Orlicz space...
summary:We give necessary and sufficient conditions for weak uniform rotundity of Mu\-sie\-lak--Orli...
A formula for the distance of an arbitrary element $x$ in Musielak-Orlicz space $L^\Phi$ from the su...
summary:Support functionals in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are c...
AbstractIn this paper several monotonicity properties of the Luxemburg norm in Musielak-Orlicz space...
Characterizations of various monotonicity properties (UM, LUM, STM) in the sequential Orlicz spaces ...
AbstractCriteria for strict monotonicity, lower local uniform monotonicity, upper local uniform mono...
Criteria for strict monotonicity, upper (lower) locally uniform monotonicity and uniform monotonicit...
The criteria for uniform monotonicity, locally uniformly monotonicity and monotonicity of of Orlicz ...
AbstractCriteria for strict monotonicity, lower local uniform monotonicity, upper local uniform mono...
AbstractCriteria for strict monotonicity, upper (lower) locally uniform monotonicity and uniform mon...
A formula for the distance of an arbitrary element x in Musielak-Orlicz space LΦ from the subspace E...
summary:We prove the continuity in norm of the translation operator in the Musielak-Orlicz $L_{M}$ s...
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left l...
The criteria foruniform monotonicity, locally uniformly monotonic-ity and monotonicity of of Oríicz ...
summary:In this paper we extend the result of [6] on the characteristic of convexity of Orlicz space...
summary:We give necessary and sufficient conditions for weak uniform rotundity of Mu\-sie\-lak--Orli...
A formula for the distance of an arbitrary element $x$ in Musielak-Orlicz space $L^\Phi$ from the su...
summary:Support functionals in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are c...
DOI
Add to ORKG