Generalizations of some classical theorems to D-normal operators on Hilbert spaces
Abstract We say that a Drazin invertible operator T on Hilbert space is of class [ D N ] $[DN]$ if T D T ∗ = T ∗ T D $T^{D}T^{*} = T^{*}T^{D}$ . The authors in (Oper. Matrices 12(2):465–487, 2018) studied several properties of this class. We prove the Fuglede–Putnam commutativity theorem for D-norma...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2020-04-01
|
Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-020-02367-z |