Hostname: page-component-6898cfcb55-cbk24 Total loading time: 0 Render date: 2026-11-11T22:17:09.601Z Has data issue: false hasContentIssue false
  • English
  • Français

A Note on the Rn,k Property for L 1 (μ E)

Published online by Cambridge University Press:  20 November 2018

T. S. S. R. K. Rao
T. S. S. R. K. Rao*
Affiliation:
Indian Statistical Institute, Bangalore Centre, R. V. College PO, Bangalore 560059 India
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

In this paper we show that for a Banach space X having the Rn,k property and such that X is constrained in a dual space having the Radon-Nikodým property, the space of X-valued Bochner integrable functions has the Rn,k property.

Keywords

46 E 4046 G 10Space of Bochner integrable functionsThe Radon-Nikodým propertythe Rn,k property

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 1 , 01 March 1989, pp. 74 - 77
Copyright
Copyright © Canadian Mathematical Society 1989

References

1. Cambern, M., Near isometries of Bochner L1 and L∞ spaces, Pacific. J. Math., 122 (1986), 1–10.Google Scholar
2. Lima, °A., Intersection Properties of balls and subspaces in Banach spaces, Trans. Amer. Math. Soc, 227 (1977), 1–62.Google Scholar
3. Lima, °A., Complex Banach spaces whose duals are L1 -spaces, Israel Jour. Math., 24 (1976), 59–72. Google Scholar
4. S, T. S.. R. K. Rao, Roy, A. K. and K. Sundaresan, Intersection properties of balls in tensor products of some Banach spaces, to appear in Mathematica Scandinavica.Google Scholar