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Essential normality of some classes of operators in infinite tensor products of Hilbert spaces

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Abstract

The essential normality of some classes of operators in stabilized infinite tensor products of Hilbert spaces is established by using the general criteria for the domains of definition of spectral integrals to be essential.

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References

  1. V. O. Livinskii, “Essential normality of some classes of operators in tensor products of Hilbert spaces,”Ukr. Mat. Zh.,46, No. 7, 878–885 (1994).

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  2. Yu. M. Berezanskii and G. F. Us, “On expansion in eigenfunctions of self-adjoint operators admitting separation of infinitely many variables,”Dokl. Akad. Nauk SSSR,213, No. 5, 1005–1008 (1992).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. O. Livinskii

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  1. V. O. Livinskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1164–1170, September, 1994.

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Livinskii, V.O. Essential normality of some classes of operators in infinite tensor products of Hilbert spaces. Ukr Math J 46, 1280–1286 (1994). https://doi.org/10.1007/BF01059419

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  • DOI: https://doi.org/10.1007/BF01059419

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