Title
On differences of Feynman-Kac semigroups : a trace class property On differences of Feynman-Kac semigroups : a trace class property
Parallel title
Sur des différences de semi-groupes de Feynman-Kac: une propriété de trace
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Paris ,
Subject
Mathematics
Source (journal)
Comptes rendus des séances de l'Académie des sciences: série 1: sciences mathématiques
Comptes rendus hebdomadaires des séances de l'Académie des sciences : série A : sciences mathématiques. - Paris, 1984 - 2001
Volume/pages
314(1992) :13 , p. 997-1002
ISSN
0764-4442
1778-3577
ISI
A1992JC50300007
Carrier
E
Target language
French (fre)
Affiliation
University of Antwerp
Abstract
Let E be a locally compact second countable Hausdorff space, let SIGMA be an open subset of E and let m be a non-negative Radon measure on E. Let K0 be the generator of a symmetric strongly continuous L1 (E, m) - L(infinity) (E, m)-smoothing Feller semigroup {exp (- t K0): t greater-than-or-equal-to 0} consisting of integral operators with continuous kernel. Under the hypotheses that E\SIGMA has finite capacity, that V - belongs to L1 (E, m) and that the square gradient operator exists in an appropriate sense, the operators exp (- t (K0 + V)) - J* exp (- t (K0 + V)SIGMA) J, t > 0, are trace class. Here Jf is the restriction to SIGMA of the function f, defined on E.
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