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.)