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A compactness criterion in the space of Hilbert-Schmidt operators

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. I. Ts. Gokhberg and A. G. Krein, Theory of Wolfer Operators in a Hilbert Space, Nauka, Moscow (1967).

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  2. G. P. Butsan, “An equivalence condition for Gaussian measures in a Hilbert Space,” Ukrainsk. Matem. Zh.,25, No. 4 (1973).

  3. G. P. Butsan, “An equivalence condition for a measure given on a subgroup with respect to displacement,” Ukrainsk. Matem. Zh.,26, No. 1 (1974).

  4. I. I. Gikhman and A. V. Skorokhod, Theory of Stochastic Processes, Vol. 1, Nauka, Moscow (1971).

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  5. N. Ya. Vilenkin, Special Functions and the Theory of Group Representations, Nauka, Moscow (1965).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    G. P. Butsan

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  1. G. P. Butsan
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 4, pp. 526–529, July–August, 1974.

I consider it my proper duty to thank A. V. Skorokhod for his interest in this work.

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Butsan, G.P. A compactness criterion in the space of Hilbert-Schmidt operators. Ukr Math J 26, 433–435 (1974). https://doi.org/10.1007/BF01085618

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  • DOI: https://doi.org/10.1007/BF01085618

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