Abstract
Let $T$ be a bounded, linear operator on a complex, separable, infinite dimensional Hilbert space $H$. We assume that $T$ is an essentially isometric (resp. normal) operator, that is, $I_{H}-T^{\ast }T$ (resp. $TT^{\ast }-T^{\ast }T)$ is compact. For the compactness of $S$ from the commutant of $T,$ some necessary and sufficient conditions are found on $S.$ Some related problems are also discussed.
Citation
F. B. Höseynov. H. S. Mustafayev. "Compact operators in the commutant of essentially normal operators." Banach J. Math. Anal. 8 (2) 1 - 15, 2014. https://doi.org/10.15352/bjma/1396640047
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