2017
Том 69
№ 9

All Issues

Unbounded operators commuting with an resolution of identity

Lyantse V. É.

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Abstract

In this paper the author gives a canonical form of a closed operator commuting with an resolution of identity (of infinite multiplicity) on a Hilbert space and proves the existence of a full system of generalized eigenfunctions for a related spectral operator.

Citation Example: Lyantse V. É. Unbounded operators commuting with an resolution of identity // Ukr. Mat. Zh. - 1963. - 15, № 4. - pp. 376-385.

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