• On unbounded subnormal operators

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/099/01/0085-0092

• # Keywords

Unbounded subnormal operator; Cayley transform; Toeplitz and Bergman operators; minimal normal extension

• # Abstract

A minimal normal extension of unbounded subnormal operators is established and characterized and spectral inclusion theorem is proved. An inverse Cayley transform is constructed to obtain a closed unbounded subnormal operator from a bounded one. Two classes of unbounded subnormals viz analytic Toeplitz operators and Bergman operators are exhibited.

• # Author Affiliations

1. Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar - 388 120, India

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 4
September 2019