Fuglede–Putnam type theorems for (p,k) $(p,k)$-quasihyponormal operators via hyponormal operators

Abstract For Hilbert space operators S, X, and T, (S,X,T)∈FP $(S,X,T)\in FP$ means Fuglede–Putnam theorem holds for triplet (S,X,T) $(S,X,T)$, that is, SX=XT $SX=XT$ ensures S∗X=XT∗ $S^{\ast }X=XT^{\ast }$. Similarly, (S,T)∈FP $(S,T)\in FP$ means (S,X,T)∈FP $(S,X,T)\in FP$ holds for each operator X....

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Bibliographic Details
Main Authors: Jiang-Tao Yuan, Cai-Hong Wang
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2073-z