Extreme points in Orlicz spaces equipped with s‐norms and closedness

DOI10.1002/mana.202200374MaRDI QIDQ6144863

Unnamed Author, Öztop, Serap, Unnamed Author, Unnamed Author

Publication date: 8 January 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

extreme pointOrlicz spacecompact operatorclosedness\(s\)-norm

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)

Cites Work

• 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
• Orlicz spaces without extreme points
• Stable convex sets and extremal operators
• On extreme points of Orlicz spaces with Orlicz norm
• Extreme points and strongly extreme points in Orlicz spaces equipped with the Orlicz norm
• Closedness of the set of extreme points of the unit ball in Orlicz spaces equipped with the \(p\)-Amemiya norm
• Monotonicity properties and solvability of dominated best approximation problem in Orlicz spaces equipped with $s$-norms
• Orlicz spaces equipped with \(s\)-norms
• Extreme operators into \(C(K)\)
• Extreme Points in Function Spaces
• Extreme Points in C(K, L φ (μ))
• A Full Description of Extreme Points in C(Ω, L ϕ (μ))
• Closedness of the Set of Extreme Points in Orlicz Spaces
• Theorems of Krein-Milman Type for Certain Convex Sets of Operators
• Amemiya norm equals Orlicz norm in general
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