Relatively weakly open subsets of the unit ball in functions spaces

DOI10.1016/j.jmaa.2005.06.063zbMath1095.46010OpenAlexW2030605470MaRDI QIDQ819668

Julio Becerra Guerrero, Ginés López-Pérez

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.063

zbMATH Keywords

slicesdenting pointweakly open subsets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Topological spaces and generalizations (closure spaces, etc.) (54A05)

Related Items (11)

Slices in the unit ball of the symmetric tensor product of \(\mathcal{C}(K)\) and \(L_{1}(\mu )\) ⋮ Symmetric strong diameter two property in tensor products of Banach spaces ⋮ Extreme differences between weakly open subsets and convex combinations of slices in Banach spaces ⋮ The big slice phenomena in M-embedded and L-embedded spaces ⋮ Diameter two properties in some vector-valued function spaces ⋮ Weakly open sets in the unit ball of some Banach spaces and the centralizer ⋮ Weakly open sets in the unit ball of the projective tensor product of Banach spaces ⋮ Stability of diametral diameter two properties ⋮ Diameter of weak neighborhoods and the Radon-Nikodym property in Orlicz-Lorentz spaces ⋮ Relatively weakly open sets in closed balls of Banach spaces, and the centralizer ⋮ Big slices versus big relatively weakly open subsets in Banach spaces

Cites Work

• Intersection properties of balls in spaces of compact operators
• Characterizations of Denting Points
• Some topological and geometrical structures in Banach spaces
• Remarks on Weak Compactness of Operators Defined on Certain Injective Tensor Products
• There are no denting points in the unit ball of 𝑊𝐶(𝐾,𝑋)
• On the extremal structure of the unit balls of Banach spaces of weakly continuous functions and their duals
• RELATIVELY WEAKLY OPEN SETS IN CLOSED BALLS OF $C^*$-ALGEBRAS
• Slices in the unit ball of a uniform algebra
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