Radon-Nikodým compact spaces of low weight and Banach spaces

• Autorzy: Antonio Avilés
• Języki publikacji: EN

Abstrakty

EN

We prove that a continuous image of a Radon-Nikodým compact of weight less than b is Radon-Nikodým compact. As a Banach space counterpart, subspaces of Asplund generated Banach spaces of density character less than b are Asplund generated. In this case, in addition, there exists a subspace of an Asplund generated space which is not Asplund generated and which has density character exactly b.

Kategorie tematyczne

• 46B22: Radon-Nikod{\'y}m, Kre{\u\i}n-Milman and related properties
• 54G99: None of the above, but in this section
• 46B50: Compactness in Banach (or normed) spaces
• 46B26: Nonseparable Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 166
• Numer: 1
• Strony: 71-82

Daty

wydano

2005

Twórcy

autor

Antonio Avilés

• Departamento de Matemáticas, Universidad de Murcia, 30100 Espinardo (Murcia), Spain

Identyfikatory

DOI

10.4064/sm166-1-5