@article{AMBP_1996__3_1_165_0, author = {Jan A. Van Casteren}, title = {On differences of self-adjoint semigroups}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {165--188}, publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal}, volume = {3}, number = {1}, year = {1996}, zbl = {0857.47027}, mrnumber = {1397331}, language = {en}, url = {https://ambp.centre-mersenne.org/item/AMBP_1996__3_1_165_0/} }
TY - JOUR AU - Jan A. Van Casteren TI - On differences of self-adjoint semigroups JO - Annales mathématiques Blaise Pascal PY - 1996 SP - 165 EP - 188 VL - 3 IS - 1 PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal UR - https://ambp.centre-mersenne.org/item/AMBP_1996__3_1_165_0/ LA - en ID - AMBP_1996__3_1_165_0 ER -
%0 Journal Article %A Jan A. Van Casteren %T On differences of self-adjoint semigroups %J Annales mathématiques Blaise Pascal %D 1996 %P 165-188 %V 3 %N 1 %I Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal %U https://ambp.centre-mersenne.org/item/AMBP_1996__3_1_165_0/ %G en %F AMBP_1996__3_1_165_0
Jan A. Van Casteren. On differences of self-adjoint semigroups. Annales mathématiques Blaise Pascal, Volume 3 (1996) no. 1, pp. 165-188. https://ambp.centre-mersenne.org/item/AMBP_1996__3_1_165_0/
1. Double Stieltjes operator integrals I, Problemy Mat. Fyz. 1 (1966), 33-67. | MR
and ,2. Double Stieltjes operator integrals II, Problemy Mat. Fyz. 2 (1967), 26-60. | MR
and ,3. Double Stieltjes operator integrals III, Problemy Mat. Fyz. 6 (1973), 27-53. | MR
and ,4. Operator integration, perturbations, and commutators, Zap. Nauchn. sem. Leningrad, Otdel. Inst. Steklov (LOMI) 170 (1989), 34-66. | MR | Zbl
and ,5. Markov processes and potential theory, Pure and Applied mathematics, vol. 29, Academic Press, New York, 1968, A series of monographs and textbooks. | MR | Zbl
and ,6. Spectral theory and differential operators, Cambridge Studies in Advanced Mathematics, vol. 42, Cambridge University Press, Cambridge, 1995. | MR | Zbl
,7. On spectral theory for Feller generators, Reviews in Mathematical Physics 1, no. 4 (1989), 325-414. | MR | Zbl
and ,8. 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 | Zbl
and ,9. Framework and results in stochastic spectral analysis, Operator Theory, Advances and Applications, vol. 70, Birkhäuser Verlag, Basel, 1994, pp. 123-132. | MR | Zbl
and ,10. 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 | Zbl
and ,11. Stochastic spectral theory of Feller operators, book in preparation.
and ,12. Markov processes, Characterization and Convergence, Wiley Series in Probability and Statistics, John Wiley and Sons, New York, 1985. | MR | Zbl
and ,13. Statistical distributions, A Wiley Interscience Publication, second edition, John Wiley and Sons, New York, 1993. | MR | Zbl
, and ,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 | Zbl
,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 | Zbl
,16. Theory and applications of Volterra operators in Hilbert space, Translations of Mathematical Monographs, vol. 24, Amer. Math. Soc., Providence R.I., 1970. | MR | Zbl
and ,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 | Zbl
,18. Functional integration and quantum physics, Academic Press, New York, 1979. | MR | Zbl
,19. Schrödinger semigroups, Bull. (New Series) Amer. Math. Soc. 7 no. 3 (1982), 447-526. | MR | Zbl
,20. Erratum: Schrödinger semigroups, Bull. (New Series) Amer. Math. Soc. 11 (1984), 426. | MR
,21. Generators of strongly continuous semigroups, Research Notes in Mathematics, vol. 115, Pitman, London, 1985. | Zbl
,22. Cauchy semigroups and wave operators, Warwick Preprints 64/1995 (1995).
,11. Stochastic spectral theory of Feller operators, book in preparation.
and ,23. Mathematical Scattering Theory: general theory, Translations of Mathematical Monographs, vol. 105, Amer. Math. Soc., 1992. | MR | Zbl
,24. Functional Analysis, Springer-Verlag, Berlin, 1980. | MR | Zbl
,