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Reduction of operator families to integral form

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Abstract

We establish a condition for reducibility of a family of operators to integral form by an isometric operator the same for the whole family.

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References

  1. Akhiezer N. I. and Glazman I. M., The Theory of Linear Operators in Hilbert Space [in Russian], Nauka, Moscow (1966).

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  3. Korotkov V. B., “Reducing certain operator families to integral form,” Sibirsk. Mat. Zh., 34, No. 3, 97–101 (1993).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    V. B. Korotkov

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  1. V. B. Korotkov
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 5, pp. 1092–1098, September–October, 2006.

Original Russian Text Copyright © 2006 Korotkov V. B.

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Korotkov, V.B. Reduction of operator families to integral form. Sib Math J 47, 896–900 (2006). https://doi.org/10.1007/s11202-006-0099-1

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  • DOI: https://doi.org/10.1007/s11202-006-0099-1

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