Criteria for complex strongly extreme points of Musielak--Orlicz function spaces

DOI10.1016/j.na.2008.03.005zbMath1166.46005OpenAlexW2050029924MaRDI QIDQ1004622

Henryk Hudzik, Li Li Chen, Yun An Cui

Publication date: 11 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.005

zbMATH Keywords

local uniform rotunditycomplex strongly extreme pointscomplex midpointMusielak-Orlicz function spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20)

Related Items

Complex rotundity of Orlicz sequence spaces equipped with the \(p\)-Amemiya norm, Complex extreme points and complex convexity in Orlicz-Bochner function spaces, Complex convexity of Musielak-Orlicz function spaces equipped with the \(p\)-Amemiya norm, Complex convexity of Orlicz modular sequence spaces, Complex extreme points and complex rotundity in Orlicz function spaces equipped with the \(p\)-Amemiya norm, Complex convexity and fixed point theorems in Orlicz modular spaces, Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals, Uniform Gateaux differentiability and weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm, Strongly extreme points of Orlicz function spaces equipped with \(\Phi\)-Amemiya norm

Cites Work

• Orlicz spaces and modular spaces
• The complex convexity of quasi-normed linear spaces
• Uniform convexity properties of norms on a super-reflexive Banach space
• Complex convexity and the geometry of Banach spaces
• On Complex Strict and Uniform Convexity
• COMPLEX CONVEXITY AND VECTOR-VALUED LITTLEWOOD–PALEY INEQUALITIES
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space
• Relationships between monotonicity and complex rotundity properties with some consequences
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