In this paper, we deal with cohomological properties of weak amenability,
cyclic amenability, cyclic weak amenability and point amenability of Banach
algebras. We look at some hereditary properties of them and show that
continuous homomorphisms with dense range preserve cyclically weak amenability,
however, weak amenability and cyclically amenability are preserved under
certain conditions. We also study these cohomological properties of the
ΞΈβLau product AΓΞΈβB and the projective tensor product
Aβ^βB. Finally, we investigate the cohomological properties of
Aββ and establish that cyclically weak amenability of Aββ implies
cyclically weak amenability of A. This result is true for point amenability
instead of cyclically weak amenability