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Item type:Publication, Tracy-singh products and classes of operators(2019-07-01) ;Ploymukda, Arnon; Lewkeeratiyutkul, WicharnWe 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.1
