Isometric Aluthge Transform and Toeplitz Operators

Abstract

We investigate the necessary and sufficient conditions for Toeplitz operators, tensor product of Toeplitz operators, Commutator of operators, Duggal transform and Aluthge transform of Toeplitz operators on the Bergman space to be 2-isometry. Further, some sufficient conditions for operator matrices on the vector valued Bergman space are shown to be 2 –isometry.

Cite as

Pabitra Kumar Jena, & Madan Mohan Soren. (2023). Isometric Aluthge Transform and Toeplitz Operators. Journal of Applied Mathematics and Statistical Analysis, 4(2), 30–42. https://doi.org/10.5281/zenodo.8310718