Publications de l'Institut Mathématique, Nouvelle Série Vol. 97(111), pp. 125–137 (2015) 

COMMUTATORS ON $L^2$SPACESVladimir KapustinSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, RussiaAbstract: Given a normal operator $N$ on a Hilbert space and an operator $X$ for which the commutator $K=XNNX$ belongs to the Hilbert–Schmidt class, we discuss the possibility to represent $X$ as a sum of a Cauchy transform corresponding to $K$ in the spectral representation of $N$ and an operator commuting with $N$. Keywords: commutators, Cauchytype integrals Classification (MSC2000): 47A58; 47B38 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 16 Apr 2015. This page was last modified: 21 Apr 2015.
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