(i) Research Completed:
(1) Amenability and weak amenability in Banach algebras.
(2) Ideal amenability in Banach algebras.
(3) Pseudo-amenability in Banach algebras.
(4) Generalized notions of amenability in Banach algebras.
Completed research in these areas is found in my list of publications.
(ii) Research In Progress:
(1) Character and approximate character amenability of some Segal algebras.
(2) Character and approximate character amenability of Beurling algebras.
(3) Pseudo-character amenability of semigroup algebras.