AN ARBITRARY INTERSECTION OF L^p- SPACES

Authors

  • fatemeh Abtahi
  • Heidar Gaeid AMINI
  • Hasan Ali Lotfi
  • Ali Rejali

Keywords:

amenability, approximate amenability, approximate identity, ideal, multiplier, Lpô€€€space, weak amenability.-

Abstract

For a locally compact group G and an arbitrary subset J of [1,\infty], it is introduced IL_J (G), as a subspace of intersection of L^p(G), where $p\in J$, with some norm to make it a Banach space. Then for some special choice of J, it is investigated some topolog- ical and algebraic properties of IL_J (G), as a Banach algebra under convolution product DOI: 10.1017/S0004972711003510

Published

2012-04-22

Issue

Vol. 85 No. 3 (2012)

Section

Articles
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