Research Interests
Domain of specialization:
Operator Theory and Operator Algebras
Present research interests:
NonLocal Algebras. Algebras of Convolution Type Operators and
Toeplitz
Algebras.
Corona
Problems and Factorization:
 Fredholm and
invertibility theory for noncommutative Banach algebras in particular
for Toeplitz algebras and for operator algebras of convolution type.
Invertibility theory in operator algebras of nonlocal type.
Representations of nonlocal algebras with groups of shifts. Nonlocal
operator algebras aiming at establishing an invertibility theory
applicable to classes of C* crossed products.
 Factorization
theory for oscillatory matrix symbols having in mind relations with
other branches of Mathematics such as Complex Analysis and some areas
of applications of Mathematics. Corona Problems and Factorization of
semialmost periodic matrix symbols.
