@article{AMBP_1996__3_1_165_0,
author = {Van Casteren, Jan A.},
title = {On differences of self-adjoint semigroups},
journal = {Annales math\'ematiques Blaise Pascal},
volume = {S3},
year = {1996},
pages = {165-188},
mrnumber = {1397331},
zbl = {0857.47027},
language = {en},
url = {http://dml.mathdoc.fr/item/AMBP_1996__3_1_165_0}
}
Van Casteren, Jan A. On differences of self-adjoint semigroups. Annales mathématiques Blaise Pascal, Tome S3 (1996) pp. 165-188. http://gdmltest.u-ga.fr/item/AMBP_1996__3_1_165_0/
1. and , Double Stieltjes operator integrals I, Problemy Mat. Fyz. 1 (1966), 33-67. | MR 209872
2. and , Double Stieltjes operator integrals II, Problemy Mat. Fyz. 2 (1967), 26-60. | MR 234304
3. and , Double Stieltjes operator integrals III, Problemy Mat. Fyz. 6 (1973), 27-53. | MR 348494
4. and , Operator integration, perturbations, and commutators, Zap. Nauchn. sem. Leningrad, Otdel. Inst. Steklov (LOMI) 170 (1989), 34-66. | MR 1039572 | Zbl 0709.47022
5. and , Markov processes and potential theory, Pure and Applied mathematics, vol. 29, Academic Press, New York, 1968, A series of monographs and textbooks. | MR 264757 | Zbl 0169.49204
6. , Spectral theory and differential operators, Cambridge Studies in Advanced Mathematics, vol. 42, Cambridge University Press, Cambridge, 1995. | MR 1349825 | Zbl 0893.47004
7. and , On spectral theory for Feller generators, Reviews in Mathematical Physics 1, no. 4 (1989), 325-414. | MR 1061118 | Zbl 0715.60093
8. and , Perturbations of generalized Schrödinger operators in stochastic spectral analysis, Schrödinger Operators, the quantum mechanical many-body problem, Proceedings Conference Aarhus, 1991, Springer-Verlag, Berlin, 1992, pp. 1-15. | MR 1181237 | Zbl 0785.47036
9. and , Framework and results in stochastic spectral analysis, Operator Theory, Advances and Applications, vol. 70, Birkhäuser Verlag, Basel, 1994, pp. 123-132. | MR 1309013 | Zbl 0818.60066
10. and , A Hilbert-Schmidt property of resolvent differences of singularly perturbed generalized Schrödinger semigroups (Han-sur-Lesse 1991), Evolution equations, control theory, and biomathematics, Lecture Notes in Pure and Appl. Math. vol. 155, Marcel Dekker, New York, 1994, pp. 117-144. | MR 1254893 | Zbl 0796.47036
11. and , Stochastic spectral theory of Feller operators, book in preparation.
12. and , Markov processes, Characterization and Convergence, Wiley Series in Probability and Statistics, John Wiley and Sons, New York, 1985. | MR 838085 | Zbl 0592.60049
13. , and , Statistical distributions, A Wiley Interscience Publication, second edition, John Wiley and Sons, New York, 1993. | MR 1228642 | Zbl 0834.62001
14. , On the difference f(B) - f(A) for unbounded self-adjoint operators in perturbation theory, Zap. Nauchn. sem. Leningrad, Otdel. Inst. Steklov (LOMI) 107 (1982), 169-177, 232. | MR 676163 | Zbl 0503.47023
15. , Functions of operators and their commutators in perturbation theory, Functional analysis and operator theory, Banach Center Publications, vol. 30, Polish Academy of Sciences, Institute of Mathematics, Warsaw, 1994, Papers from the thirty-ninth Semester in Warsaw, March 2 - May 30, 1992, J. Zemánek (editor). | MR 1285604 | Zbl 0804.47016
16. and , Theory and applications of Volterra operators in Hilbert space, Translations of Mathematical Monographs, vol. 24, Amer. Math. Soc., Providence R.I., 1970. | MR 264447 | Zbl 0194.43804
17. , Hankel operators in the perturbation theory of unbounded self-adjoint operators, Analysis and partial differential equations, Lecture Notes in Mathematics, vol. 122, Marcel Dekker, New York, 1990. | MR 1044807 | Zbl 0716.47015
18. , Functional integration and quantum physics, Academic Press, New York, 1979. | MR 544188 | Zbl 0434.28013
19. , Schrödinger semigroups, Bull. (New Series) Amer. Math. Soc. 7 no. 3 (1982), 447-526. | MR 670130 | Zbl 0524.35002
20. , Erratum: Schrödinger semigroups, Bull. (New Series) Amer. Math. Soc. 11 (1984), 426. | MR 752806
21. , Generators of strongly continuous semigroups, Research Notes in Mathematics, vol. 115, Pitman, London, 1985. | Zbl 0576.47023
22. , Cauchy semigroups and wave operators, Warwick Preprints 64/1995 (1995).
11. and , Stochastic spectral theory of Feller operators, book in preparation.
23. , Mathematical Scattering Theory: general theory, Translations of Mathematical Monographs, vol. 105, Amer. Math. Soc., 1992. | MR 1180965 | Zbl 0761.47001
24. , Functional Analysis, Springer-Verlag, Berlin, 1980. | MR 617913 | Zbl 0217.16001