Weekly seminar on 14.09.2016 at 10.00 at the Institute seminar professor of Kral Said University Mubariz Tapdigoglu Garayev will give a talk on “Some applications of generating kernels and English Algebras”.
The English algebras known well in theory of operator theory was first determined and studied by English in 1995. Using the notion of generating kernel and Berezin symbol in Hilbert spaces, a new definition of English algebras is given. In addition, using of technique of generating kernel and Berezin symbol, some new results on English c^• – algebras are obtained. These results allows to answer some quastions arising in different fields of operator theory. For example, some applications of the obtained results to Riccati’s operator equations, zero product of Toeplits operators and to problems of invariant subspace of operators.