Ball remotal subspaces of Banach spaces

• Autorzy: Pradipta Bandyopadhyay , Bor-Luh Lin , T. S. S. R. K. Rao
• Języki publikacji: EN

Abstrakty

EN

We study Banach spaces X with subspaces Y whose unit ball is densely remotal in X. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set E ⊆ X, the set of Bochner integrable functions with values in E is a remotal set in L¹(μ,X).

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 46B20: Geometry and structure of normed linear spaces
• 47L05: Linear spaces of operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 114
• Numer: 1
• Strony: 119-133

Daty

wydano

2009

Twórcy

autor

Pradipta Bandyopadhyay

• Stat-Math Division, Indian Statistical Institute, 202, B. T. Road, Kolkata 700108, India

autor

Bor-Luh Lin

• Department of Mathematics, University of Iowa, Iowa City IA 52242, U.S.A.

autor

T. S. S. R. K. Rao

• Stat-Math Unit, Indian Statistical Institute, R. V. College P.O., Bangalore 560059, India

Identyfikatory

DOI

10.4064/cm114-1-10