Abstract
We extend the Fuglede–Putnam theorem modulo the Hilbert–Schmidt class to essentially commuting almost normal operators with finite Hilbert–Schmidt modulus of quasitriangularity.
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Lauric, V. The elementary operator and Fuglede–Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert–Schmidt quasitriangularity. Rend. Circ. Mat. Palermo, II. Ser 70, 741–752 (2021). https://doi.org/10.1007/s12215-020-00522-5
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DOI: https://doi.org/10.1007/s12215-020-00522-5
Keywords
- Hilbert–Schmidt modulus of quasitriangularity
- Essentially commuting almost normal operators
- Essentially commuting almost hyponormal operators
- Generalized Fuglede–Putnam theorem