Journal of Mathematics and Statistics

On a Class of Nonhomogeneous Fields in Hilbert Space

Raéd Hatamleh

DOI : 10.3844/jmssp.2007.207.210

Journal of Mathematics and Statistics

Volume 3, Issue 4

Pages 207-210


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.


© 2007 Raéd Hatamleh. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.