Fuglede – Putnam type theorems for extension of $M$-hyponormal operators

• Date: 2022
• Main Authors: Mecheri , S., Prasad , T.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2355
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We consider $k$-quasi-$M$-hyponormal operator $T \in B(\mathcal{H})$ suchthat $TX = XS$ for some $X \in B(\mathcal{K},\mathcal{H})$ and prove the Fuglede–Putnam type theorem when adjoint of $S \in B(\mathcal{K})$ is $k$-quasi-$M$-hyponormal or dominant operators.We also show that two quasi...