Abstract:We investigate the effects of having an absolute continuity relation between the time-ordering measures in Feynman’s operational calculus. In particular, we obtain some theorems concerning the formation of functions of several noncommuting operators or operator-valued functions under specific absolute continuity assumptions on the time-ordering measures.
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- Lance Nielsen
- Affiliation: Department of Mathematics and Computer Science, Creighton University, Omaha, Nebraska 68178-2090
- Email: firstname.lastname@example.org
- Received by editor(s): July 10, 2001
- Received by editor(s) in revised form: October 10, 2001
- Published electronically: July 17, 2002
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 781-791
- MSC (2000): Primary 47A60, 46H30; Secondary 47A56, 47B38
- DOI: https://doi.org/10.1090/S0002-9939-02-06592-9
- MathSciNet review: 1937417