Diameter two properties in some vector-valued function spaces

DOI10.1007/s13398-021-01165-6zbMath1485.46015arXiv2103.04012OpenAlexW3206465503MaRDI QIDQ2240638

Yanyan Li

Publication date: 4 November 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04012

zbMATH Keywords

uniform algebraShilov boundarydiameter two propertyUrysohn-type lemma

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Linear operators on function spaces (general) (47B38) Isometric theory of Banach spaces (46B04)

Related Items (2)

Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions ⋮ Daugavet and diameter two properties in Orlicz-Lorentz spaces

Cites Work

• A Bishop-Phelps-Bollobás type theorem for uniform algebras
• Relatively weakly open subsets of the unit ball in functions spaces
• Diameter two properties and polyhedrality
• On the duality of the symmetric strong diameter 2 property in Lipschitz spaces
• Stability of diametral diameter two properties
• Octahedral norms in free Banach lattices
• Some geometric properties of disk algebras
• Almost squareness and strong diameter two property in tensor product spaces
• New applications of extremely regular function spaces
• A Urysohn-type theorem and the Bishop-Phelps-Bollobás theorem for holomorphic functions
• Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions
• Almost square and octahedral norms in tensor products of Banach spaces
• Generalized numerical index of function algebras
• Symmetric strong diameter two property
• Remarks on diameter 2 properties
• Some topological and geometrical structures in Banach spaces
• Some Remarks on the Daugavet Equation
• Diametral diameter two properties in Banach spaces
• Delta- and Daugavet points in Banach spaces
• The diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property
• Weak neighborhoods and the Daugavet property of the interpolation spaces $L^1 + L^\infty$ and $L^1 \cap L^\infty$
• Slices in the unit ball of a uniform algebra
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