Complex convexity of Orlicz modular sequence spaces

DOI10.1155/2016/5917915zbMath1383.46009OpenAlexW2549307384WikidataQ59127063 ScholiaQ59127063MaRDI QIDQ503489

Deyun Chen, Yang Jiang, Li Li Chen

Publication date: 13 January 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/5917915

zbMATH Keywords

Orlicz sequence spacemodularmodular spacecomplex extreme pointcomplex strongly extreme point

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Modular spaces (46A80)

Related Items

Complex convexity and fixed point theorems in Orlicz modular spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotonicity and complex convexity in Banach lattices
• Complex rotundity of Orlicz sequence spaces equipped with the \(p\)-Amemiya norm
• Orlicz spaces and modular spaces
• The complex convexity of quasi-normed linear spaces
• Approximative compactness and continuity of metric projector in Banach spaces and applications
• 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
• Complex convexity and monotonicity in quasi-Banach lattices
• Criteria for complex strongly extreme points of Musielak--Orlicz function spaces
• Orlicz spaces without extreme points
• Monotonicity and best approximation in Banach lattices
• Strongly extreme points in Orlicz spaces equipped with the \(p\)-Amemiya norm
• Extreme points and strongly extreme points in Orlicz spaces equipped with the Orlicz norm
• Some geometrical properties and fixed point theorems in Orlicz spaces
• Complex extreme points in Marcinkiewicz spaces
• Complex rotundities and midpoint local uniform rotundity in symmetric spaces of measurable operators
• Fixed point theory in modular function spaces
• On modular spaces
• On Complex Strict and Uniform Convexity
• COMPLEX CONVEXITY AND VECTOR-VALUED LITTLEWOOD–PALEY INEQUALITIES
• Composition operators in Orlicz spaces
• Complex convexity in Lebesgue-Bochner Function Spaces
• Complex Convexity of Orlicz–Lorentz Spaces and its Applications
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space
• Relationships between monotonicity and complex rotundity properties with some consequences