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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02367-z |