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Abstract We prove that every Banach space which admits an unconditional basis can be renormed to contain a constant width set with empty interior, thus guaranteeing, for the first time,… Click to show full abstract
Abstract We prove that every Banach space which admits an unconditional basis can be renormed to contain a constant width set with empty interior, thus guaranteeing, for the first time, existence of such sets in a reflexive space. In the isometric case we prove that normal structure is characterized by the property that the class of diametrically complete sets and the class of sets with constant radius from the boundary coincide.
Keywords:
thin sets;
sets constant;
constant width
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!