On Hamel bases in Banach spaces

• Autorzy: Juan Carlos Ferrando
• Języki publikacji: EN

Abstrakty

EN

It is shown that no infinite-dimensional Banach space can have a weakly K-analytic Hamel basis. As consequences, (i) no infinite-dimensional weakly analytic separable Banach space E has a Hamel basis C-embedded in E(weak), and (ii) no infinite-dimensional Banach space has a weakly pseudocompact Hamel basis. Among other results, it is also shown that there exist noncomplete normed barrelled spaces with closed discrete Hamel bases of arbitrarily large cardinality.

Kategorie tematyczne

• 54C35: Function spaces
• 46B20: Geometry and structure of normed linear spaces
• 46A03: General theory of locally convex spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 220
• Numer: 2
• Strony: 169-178

Daty

wydano

2014

Twórcy

autor

Juan Carlos Ferrando

• Centro de Investigación Operativa, Edificio Torretamarit, Avda de la Universidad s/n, Universidad Miguel Hernández, E-03202 Elche (Alicante), Spain

Identyfikatory

DOI

10.4064/sm220-2-5