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Research Article · Free to read · Published 31 December 2007

On a Class of Nonhomogeneous Fields in Hilbert Space

Raéd Hatamleh

Journal of Mathematics and Statistics, Volume 3, Issue 4, pp. 207–210 · doi.org/10.3844/jmssp.2007.207.210

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Abstract

Two-parametric semigroups of operators in Hilbert space with bounded infinitesimal doubly commuting operators are studied. The characteristics describing deviation of a semigroup from unitary one, when infinitesimal operators are unitary, in particular, nonunitary index, have been introduced. Necessary and sufficient conditions for nonunitary index finiteness have been obtained.

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Hatamleh, R. (2007). On a Class of Nonhomogeneous Fields in Hilbert Space. Journal of Mathematics and Statistics, 3(4), 207–210. https://doi.org/10.3844/jmssp.2007.207.210

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On a Class of Nonhomogeneous Fields in Hilbert SpaceJournal of Mathematics and Statistics · Volume 3, Issue 4 · pp. 207–210 · © Science PublicationsDownload