Abstract
A general method of constructing functions of unbounded operators acting in Banach spaces is set forth. It is based on equipping the initial space with invariant subspaces of ultradifferential vectors of a specified operator and describing the spectral properties of the initial space in the topological algebras which thereby arise.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 4, pp. 502–513, April, 1992.
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Lopushans'kii, O.V. Operator enumeration in ultradifferentiable vectors. Ukr Math J 44, 443–453 (1992). https://doi.org/10.1007/BF01064878
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DOI: https://doi.org/10.1007/BF01064878