A Fuglede-Putnam type theorem for a class of almost normal operators
2019
scientific article
english
- almost normal operators
- k1-function
- Fuglede-Putnam type theorem
EN In this note we will prove that operators T ∈ L(H) with finite k1 function satisfy a Fuglede-Putnam type modulo the Hilbert-Schmidt class, that is, for arbitrary X ∈ L(H) with TX – XT ∈ C2(H) implies T*X – XT* ∈ C2(H).
81 - 84
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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