|
Entire regularizations of strongly continuous groups and products of analytic generators
Author(s):
Ioana
Cioranescu;
Valentin
Keyantuo
Journal:
Proc. Amer. Math. Soc.
128
(2000),
3587-3593.
MSC (2000):
Primary 47D03
Posted:
June 6, 2000
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
Using entire regularizations of  groups, we give a characterization of their analytic generators which we apply to the study of products of such generators.
References:
-
- 1.
- Bourgain J., Some remarks on Banach spaces in which martingale differences are unconditional, Ark. Math. 22 (1983), 163-168. MR 85a:46011
- 2.
- Cioranescu I., Zsidó L., Analytic generators for one-parameter groups of operators, Tôhoku Math. J. 28 (1976), 327-362. MR 55:3872
- 3.
- Cioranescu I., Zsidó L., Analytic generators for one-parameter cosine families, Acta Sci. Math. 45 (1983), 95-109. MR 85c:47043
- 4.
- de Laubenfels R., Entire solutions of the abstract Cauchy problem, Semigroup Forum 42 (1991), 83-105. MR 91i:47055
- 5.
- de Laubenfels R., ``Existence Families, Functional Calculi and Evolution Equations", Lecture Notes in Math., 1570, Springer-Verlag, 1994. MR 96b:47047
- 6.
- Monniaux S., ``Générateur analytique et classe d'opérateurs BIP", Thèse, Besançon 1995.
- 7.
- Monniaux S., A new approach to the Dore-Venni theorem, Math. Nachrichten 204 (1999), 163-183. CMP 99:16
- 8.
- Prüss J. and Sohr H., On operators with bounded imaginary powers in Banach spaces, Math. Z. 203 (1990), 429-452. MR 91b:47030
- 9.
- Uiterdijk, M., ``Functional Calculi for Closed Operators", Ph.D. Thesis, Delft 1998.
- 10.
- Zsidó L., Analytic generators and the foundation of the Tomita-Takesaki theory, Proc. Int. School of Math. Phys. Univ. Camerino, (1974), 182-267.
- 11.
- Zsidó L., Spectral properties of the analytic generator and singular integrals, Mem. Acad. Lincei, 17 (1983), 105-134. MR 87f:47062
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
47D03
Retrieve articles in all Journals with MSC
(2000):
47D03
Additional Information:
Ioana
Cioranescu
Affiliation:
Department of Mathematics and Computer Science, University of Puerto Rico, Box 23355, San Juan, Puerto Rico 00931-3355
Email:
eciorane@rrpac.upr.clu.edu
Valentin
Keyantuo
Affiliation:
Department of Mathematics and Computer Science, University of Puerto Rico, Box 23355, San Juan, Puerto Rico 00931-3355
Email:
keyantuo@rrpac.upr.clu.edu
DOI:
10.1090/S0002-9939-00-05483-6
PII:
S 0002-9939(00)05483-6
Received by editor(s):
October 20, 1998
Received by editor(s) in revised form:
February 18, 1999
Posted:
June 6, 2000
Communicated by:
Dale Alspach
Copyright of article:
Copyright
2000,
American Mathematical Society
|
Comments: webmaster@ams.org