Search results for "46B03"

showing 2 items of 2 documents

Finitely fibered Rosenthal compacta and trees

2009

We study some topological properties of trees with the interval topology. In particular, we characterize trees which admit a 2-fibered compactification and we present two examples of trees whose one-point compactifications are Rosenthal compact with certain renorming properties of their spaces of continuous functions.

Pure mathematics54D30 46B03 46E15 54C35 54G12Algebra and Number TheoryApplied MathematicsGeneral Topology (math.GN)Fibered knotMathematics::General TopologyFunctional Analysis (math.FA)Mathematics - Functional AnalysisComputational MathematicsFOS: MathematicsCompactification (mathematics)Geometry and TopologyAnalysisMathematics - General TopologyMathematicsRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
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Polyhedrality and decomposition

2018

Abstract The aim of this note is to present two results that make the task of finding equivalent polyhedral norms on certain Banach spaces, having either a Schauder basis or an uncountable unconditional basis, easier and more transparent. The hypotheses of both results are based on decomposing the unit sphere of a Banach space into countably many pieces, such that each one satisfies certain properties. Some examples of spaces having equivalent polyhedral norms are given.

Unit spherePure mathematicsMathematics::Functional AnalysisBasis (linear algebra)General Mathematics010102 general mathematicsBanach space01 natural sciencesSchauder basisTask (project management)Functional Analysis (math.FA)Mathematics - Functional Analysis0103 physical sciencesDecomposition (computer science)FOS: Mathematics46B03 46B20 46B26Uncountable set010307 mathematical physics0101 mathematicsMathematics
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