Separating diameter two properties from their weak-star counterparts in spaces of Lipschitz functions

We address some open problems concerning Banach spaces of real-valued Lipschitz functions. Specifically, we prove that the diameter $2$ properties differ from their weak-star counterparts in these spaces. In particular, we establish the existence of dual

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Publication Details

Journal
Studia Mathematica
Published
2025-01-01
DOI
https://doi.org/10.4064/sm240612-9-9
Citations
1
Primary Topic
Stochastic processes and financial applications
Type
article
Field-Weighted Citation Impact
2.21

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article

Separating diameter two properties from their weak-star counterparts in spaces of Lipschitz functions

Andre Ostrak, Jaan Kristjan Kaasik, R. Haller
1 citations
Studia Mathematica
Stochastic processes and financial applications
2.21
article

Separating diameter two properties from their weak-star counterparts in spaces of Lipschitz functions

Andre Ostrak, Jaan Kristjan Kaasik, R. Haller
article en
1 citations

Abstract

We address some open problems concerning Banach spaces of real-valued Lipschitz functions. Specifically, we prove that the diameter $2$ properties differ from their weak-star counterparts in these spaces. In particular, we establish the existence of dual

Studia MathematicaVol. 280(1)
University of Agder (NO), University of Tartu (EE)
Eesti Teadusagentuur
Openalex Percentile: Top 18%
Stochastic processes and financial applications
2.21
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