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Commuting extensions of operators

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Abstract

The maximal commuting proper extensions of a closed Hermitian operator and a dual pair of continuous operators in a Hilbert space are described; the criteria of their existence are established.

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Authors and Affiliations

  1. Lugansk Engineering Institute, Lugansk

    Yu. M. Arlinskii & V. I. Mogilevskii

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  1. Yu. M. Arlinskii
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  2. V. I. Mogilevskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 6, pp. 744–752, June, 1993.

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Arlinskii, Y.M., Mogilevskii, V.I. Commuting extensions of operators. Ukr Math J 45, 816–825 (1993). https://doi.org/10.1007/BF01061434

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  • DOI: https://doi.org/10.1007/BF01061434

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