AN ARBITRARY INTERSECTION OF Lp-SPACES

被引：4

作者：

Abtahi, F. ^{[1
]}

Amini, H. G. ^{[1
]}

Lotfi, H. A. ^{[1
]}

Rejali, A. ^{[1
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan, Iran

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2012年 / 85卷 / 03期

关键词：

amenability; approximate amenability; approximate identity; ideal; multiplier; L-p-space; weak amenability; WEAK AMENABILITY; ALGEBRAS; CONJECTURE;

D O I：

10.1017/S0004972711003510

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a locally compact group G and an arbitrary subset J of [1, infinity] we introduce IL(sic)(G) as a subspace of boolean AND(p epsilon(sic)) L-p(G) with some norm to make it a Banach space. Then, for some special choice off, we investigate some topological and algebraic properties of IL(sic)(G) as a Banach algebra under a convolution product.

引用

页码：433 / 445

页数：13

共 25 条

[1] On the Lp-conjecture for locally compact groups [J].