Abstract. We extend the Fuglede--Putnam theorem modulo the Hilbert--Schmidt class to almost normal $m$-tuples of operators with finite Hilbert--Schmidt modulus of quasitriangularity.
DOI: 10.14232/actasm-020-534-6
AMS Subject Classification
(1991): 47B20; 47B10, 47B47
Keyword(s):
Hilbert--Schmidt modulus of quasitriangularity,
almost normal $m$-tuples of operators,
almost hyponormal operators,
generalized Fuglede--Putnam theorem
received 4.3.2020, revised 7.5.2020, accepted 10.5.2020. (Registered under 34/2020.)
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