Bochner algebras and their compact multipliers |
| |
Authors: | Fatemeh Abtahi Rasoul Nasr Isfahani Ali Rejali |
| |
Institution: | 1.Department of Mathematics,Uinversity of Isfahan,Isfahan,Iran;2.Department of Mathematical Sciences,Isfahan Uinversity of Technology,Isfahan,Iran |
| |
Abstract: | Let
\mathfrakA\mathfrak{A} be a normed algebra with identity, Ω be a locally compact Hausdorf space and λ be a positive Radon measure on Ω with supp(λ) = Ω. In this paper, we establish a necessary and sufficient condition for L
1(Ω,
\mathfrakA\mathfrak{A}) to be an algebra with pointwise multiplication. Under this condition, we then characterize compact and weakly compact left
multipliers on L
1(Ω,
\mathfrakA\mathfrak{A}). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|