The Similarity Problem for Bounded Analytic Semigroups on Hilbert Space

Semigroup Forum

Volumn 56, Issue 2, 1998, Pages 205-224

  Le Merdy, Christian ^a  

^a UNIVERSITÉ DE FRANCHE COMTÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001676652     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005942     Document Type: Article

References (24)

1. Baillon, J.B. and Clément, P., Examples of unbounded imaginary powers of operators, J. Funct. Anal. 100 (1991), 419-434.
2. Chernoff, P.R., Two counterexamples in semigroup theory on Hilbert space, Proc. AMS 56 (1976), 253-255.
3. ∞ functional calculus, J. Aust. Math. Soc., Series A, 60 (1996), 51-89.
4. Foguel, S.R., A counterexample to a problem of Sz-Nagy, Proc. AMS 15 (1964), 788-790.
5. Franks, E. and McIntosh, A., "Discrete quadratic estimates and holomorphic functional calculi of operators in Banach spaces", preprint, 1995.
6. Halmos, P., Ten problems in Hilbert space, Bull. AMS 176 (1970), 887-933.
7. Goldstein, J.A., "Semigroups of linear operators and applications", Oxford University Press, New-York, 1985.
8. ∞ functional calculus, Miniconference on operator theory and partial differential equations, Proc. Centre Math. Analysis, ANU, Canberra 14 (1986), 210-231.
9. ∞ functional calculus, Miniconference on operators in analysis, Proc. Centre Math. Analysis, ANU, Canberra 24 (1989), 159-172.
10. Sz-Nagy, B., Completely continuous operators with uniformly bounded iterates, Publ. Math. Inst. Hungarian Acad. Sci 4 (1959), 89-92.
11. Sz-Nagy, B. and Foias, C., "Harmonic analysis of operators on Hilbert space", Akademiai Kiadó, Budapest, 1970.
12. Packel, E.W., A semigroup analogue of Foguel's counterexample, Proc. AMS 21 (1969), 240-244.
13. Paulsen, V.I., Every completely polynomial bounded operator is similar to a contraction, J. Func. Anal. 55 (1984), 1-17.
14. Paulsen, V.I., Completely bounded homomorphisms of operator algebras, Proc. AMS 92 (1984), 225-228.
15. Paulsen, V.I., "Completely bounded maps and dilations", Pitman Research Notes in Math. 146, Longman, Wiley, New-York, 1986.
16. Paulsen, V.I., Toward a theory of K-spectral sets (In "Surveys of some recent results in operator theory", Vol. I, Editors: Conway, J.B. and Morrel, B.B.), Pitman Research Notes in Math. 171, Longman, Wiley, New-York (1988), 221-240.
17. Pazy, A., "Semigroups of linear operators and applications to partial differential equations", Springer, New-York, 1983.
18. Pisier, G., A polynomially bounded operator which is not similar to a contraction, preprint, 1996. To appear in Journal AMS.
19. Prüss, J., "Evolutionary integral equations and applications", Birkhäuser Verlag, Basel, 1993.
20. Prüss, J. and Sohr, H., On operators with bounded imaginary powers in Banach spaces, Math. Z. 203 (1990), 429-452.
21. Rota, G.C., On models for linear operators, Comm. Pure Appl. Math. 13 (1960), 468-472.
22. Stampfli, J.G., Surgery on spectral sets, J. Operator Theory 16 (1986), 235-243.
23. Yagi, A., Coïncidence entre des espaces d'interpolation et des domaines de puissances fractionnaires d'opérateurs, C.R.A.S. Paris 299, Série I (1984), 173-176.
24. Yagi, A., Applications of the purely imaginary powers of operators in Hilbert spaces, J. Funct. Anal. 73 (1987), 216-231.