[FORTHCOMING] A(n,m)-iso-contra-expansive operators and some applications on Bergman spaces

In this paper, we study a new class of operators, so called $A(n,m)$-iso-contra-expansive operators. These new families of operators are considered as a generalization that combines the $m$-expansive operators as well as m-contractive operators and the classes of $(A,m)$-expansive and $(A,m)$-contractive operators and we recover the notion of $n$-quasi-$(A,m)$-isometric operators. Some spectral properties of these kind of operators are provided, we derive also a conditions to have the single-valued extension property (SVEP) and we finish by an application of Toeplitz operators on Bergman spaces.

In this paper, we study a new class of operators, so called $A(n,m)$-iso-contra-expansive operators. These new families of operators are considered as a generalization that combines the $m$-expansive operators as well as m-contractive operators and the classes of $(A,m)$-expansive and $(A,m)$-contractive operators and we recover the notion of $n$-quasi-$(A,m)$-isometric operators. Some spectral properties of these kind of operators are provided, we derive also a conditions to have the single-valued extension property (SVEP) and we finish by an application of Toeplitz operators on Bergman spaces.

Bergman spaces Toeplitz operators m-contractive m-expansive

Bergman spaces Toeplitz operators m-contractive m-expansive