Central approximate units in the herz-figa-talamanca algebra Ap (G)‎

الملخص EN

For a locally compact group G, the Herz–Figa–Talamanca algebra was defined by Herz in 1969.

Another definition was given by Cowling in 1998.

In either definition we show here that Ap(G) has a bounded approximate identity consisting of B-invariant functions if and only if G ∈ [FC] B. 2000 Mathematics Subject Classification: 46J10, 20D45