We extend the Fuglede-Putnam theorem modulo the Hilbert-Schmidt class to almost normal operators with finite Hilbert-Schmidt modulus of quasi-triangularity.
@article{bwmeta1.element.doi-10_1515_conop-2016-0002, author = {Vasile Lauric}, title = {A Fuglede-Putnam theorem modulo the Hilbert-Schmidt class for almost normal operators with finite modulus of Hilbert-Schmidt quasi-triangularity}, journal = {Concrete Operators}, volume = {3}, year = {2016}, pages = {8-14}, zbl = {1338.47017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_conop-2016-0002} }
Vasile Lauric. A Fuglede-Putnam theorem modulo the Hilbert-Schmidt class for almost normal operators with finite modulus of Hilbert-Schmidt quasi-triangularity. Concrete Operators, Tome 3 (2016) pp. 8-14. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_conop-2016-0002/
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