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.
Thin sets of constant width
E. Maluta;
2019-01-01
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Maluta_Yost_pubbl.pdf
Accesso riservato
Descrizione: Articolo principale
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
319.66 kB
Formato
Adobe PDF
|
319.66 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
