HOMOLOGICAL PROPERTIES OF SOME BANACH MODULES RELATED TO COMPLETELY CONTINUOUS CONVOLUTION OPERATORS

摘要

For a locally compact group G, the notion of a Dunford-Pettis operator and the convolution product were used to introduce the function space DP(G). Closely related to this space is the space of all left uniformly measurable functions on G that denoted by LUM(G). Here, we investigate projectivity, injectivity and flatness of LUM(G) and DP(G) as Banach right modules over the group algebra.