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Tracy-singh products and classes of operators
Author(s)
Date Issued
July 1, 2019
Type
Article
Abstract
We investigate relationship between Tracy-Singh products and certain classes of Hilbert space operators. We show that the normality, hyponormality, paranormality of operators are preserved by Tracy-Singh products. Operators of class-A type are also preserved under Tracy-Singh products. Moreover, we obtain necessary and sufficient conditions for the Tracy- Singh product of two operators to be normal, quasinormal, (co)isometry, and unitary.
Citation
Journal of Computational Analysis and Applications, 26(8), 1401-1413, 2019