Search

In this paper, we describe the matrix representations of asymmetric truncated Toeplitz operators acting between two finite-dimensional model spaces K 1 and K 2 . The novelty of our approach is that here we consider matrix representations computed with respect to bases of different type in K 1 and K 2 (for example, kernel basis in K 1 and conjugate kernel basis in K 2 ). We thus obtain new matrix characterizations which are simpler than the ones already known for asymmetric truncated Toeplitz operators. [ABSTRACT FROM AUTHOR]

Asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These operators are natural generalizations of truncated Toeplitz operators. In this paper we describe symbols of asymmetric truncated Toeplitz operators equal to the zero operator. [ABSTRACT FROM AUTHOR]

Asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These operators are natural generalizations of truncated Toeplitz operators. In this paper we describe symbols of asymmetric truncated Toeplitz operators equal to the zero operator. [ABSTRACT FROM AUTHOR]