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ISSN: 1558-6359 (Online)
Research Article Open Access

On a Class of Nonhomogeneous Fields in Hilbert Space

Raéd Hatamleh

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.

Journal of Mathematics and Statistics
Volume 3 No. 4, 2007, 207-210

DOI: https://doi.org/10.3844/jmssp.2007.207.210

Submitted On: 16 August 2007 Published On: 31 December 2007

How to Cite: 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

Open AccessCopyright: © 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.

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Keywords

  • Nonhomogeneous Fields
  • Multi-parametric Semigroup
  • Doubly Commuting Operators