Local monotonicity coefficients in Orlicz sequence spaces equipped with the \(p\)-Amemiya norm
DOI10.1186/s13660-020-2291-4zbMath1503.46011OpenAlexW3028846946MaRDI QIDQ2069313
Xin He, Henryk Hudzik, Yun An Cui
Publication date: 20 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-020-2291-4
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Banach lattices (46B42) Banach sequence spaces (46B45)
Cites Work
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- Local structure of symmetrizations \(E^{(\ast)}\) with applications
- Monotonicity and rotundity of Lorentz spaces \(\varGamma_{p,w}\)
- Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the \(p\)-Amemiya norm
- Basic theory of \(p\)-Amemiya norm in Orlicz spaces (\(1\leq p\leq \infty\)): Extreme points and rotundity in Orlicz spaces endowed with these norms
- Monotonicity characteristic of Köthe-Bochner spaces
- Moduli and characteristics of monotonicity in some Banach lattices
- Moduli and characteristics of monotonicity in general Banach lattices and in Orlicz spaces in particular
- Local \(\Delta _2^E(x)\) condition as a crucial tool for local structure of Calderón-Lozanovskiĭ spaces
- Monotonicity and best approximation in Banach lattices
- Strongly extreme points in Orlicz spaces equipped with the \(p\)-Amemiya norm
- Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
- Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices
- Banach lattices with order isometric copies of \(l^\infty\)
- Monotone coefficients and monotonicity of Orlicz spaces
- A dual property to uniform monotonicity in Banach lattices
- Rotundity and monotonicity properties of selected Cesàro function spaces
- Criteria for monotonicity properties of Musielak-Orlicz spaces equipped with the Amemiya norm
- Strictly and uniformly monotone sequential Musielak-Orlicz spaces
- Points of monotonicity in Musielak--Orlicz function spaces endowed with the Luxemburg norm
- Local monotonicity structure of symmetric spaces with applications
- Monotonicity properties in Banach spaces via sublinear operators and corrigendum to ``Rotundity properties in Banach spaces via sublinear operators.
- Banach lattices which are order uniformly noncreasy
- Weak orthogonality and weak property (β) in some banach sequence spaces
- Monotonicity Properties of Banach Lattices and Their Applications – a Survey
- Monotonicity Properties of Lorentz Spaces
- Relationships between monotonicity and complex rotundity properties with some consequences
- Monotonicity and rotundity properties in Banach lattices
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