Abstract
We establish general criteria for the domains of definition of spectral integrals to be essential. On the basis of these criteria, we prove that some classes of operators are essentially normal in tensor products of Hilbert spaces.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 878–885, July, 1994.
This work was partially supported by the Foundation for Fundamental Research of the Ukrainian State Committee on Science and Technology.
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Livinskii, V.O. Essential normality of some classes of operators in tensor products of Hilbert spaces. Ukr Math J 46, 962–970 (1994). https://doi.org/10.1007/BF01056673
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DOI: https://doi.org/10.1007/BF01056673