A joint functional calculus for sectorial operators with commuting resolvents

Proceedings of the London Mathematical Society

Volumn 77, Issue 2, 1998, Pages 387-414

  Lancien, Florence ^a   Lancien, Gilles ^a   Le Merdy, Christian ^a  

^a UNIVERSITÉ DE FRANCHE COMTÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013154536     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611598000501     Document Type: Article

References (30)

1. D. ALBRECHT, 'Functional calculi of commuting unbounded operators', Ph.D. thesis, Monash University, Australia, 1994.
2. J. BERGH and A. J. LÖFSTRÖM, Interpolation spaces (Springer, New York, 1976).
3. J. BOURGAIN, 'Some remarks on Banach spaces in which martingale difference sequences are unconditional', Ark. Mat. 21 (1983) 163-168.
4. ∞', Acta Math. 152 (1984) 1-48.
5. 1-BMO duality', Probability theory and harmonic analysis (eds J.-A. Chao and W. A. Woyczynski, Dekker, New York, 1986), pp. 1-19.
6. J. BOURGAIN and W. DAVIS, 'Martingale transforms and complex uniform convexity', Trans. Amer. Math. Soc. 294 (1986) 501-515.
7. R. R. COIFMAN and G. WEISS, Transference methods in analysis, CBMS Regional Conference Series in Mathematics 31 (American Mathematical Society, Providence, R.I., 1977).
8. ∞ functional calculus', J. Austral. Math. Soc. Ser. A 60 (1996) 51-89.
9. G. DA PRATO and P. GRISVARD, 'Sommes d'opérateurs linéaires et équations différentielles opérationnelles', J. Math. Pures Appl. 54 (1975) 305-387.
10. L. DE SIMON, 'Un' applicazione della theoria degli integrali singolari allo studio delle equazioni differenziali lineare astratte del primo ordine', Rend. Sem. Mat. Univ. Padova (1964) 205-223.
11. G. DORE and A. VENNI, 'On the closedness of the sum of two closed operators', Math. Z. 196 (1987) 189-201.
12. G. DORE and A. VENNI, 'Some results about complex powers of closed operators', J. Math. Anal. Appl. 149 (1990) 124-136.
13. T. FIGIEL, W. JOHNSON and L. TZAFRIRI, 'On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces', J. Approx. Theory 13 (1975) 395-412.
14. E. FRANKS and A. MCINTOSH, 'Discrete quadratic estimates and holomorphic functional calculi of operators in Banach spaces', Macquarie Mathematics Report 95/192, 1995.
15. J. B. GARNETT, Bounded analytic functions (Academic Press, New York, 1981).
16. J. A. GOLDSTEIN, Semigroups of linear operators and applications (Oxford University Press, New York, 1985).
17. J. L. KRIVINE, Théorèmes de factorisation dans les espaces de Banach réticulés. Séminaire Maurey-Schwarz (1973/74) 22-23 (École Polytechnique, Paris, 1974).
18. S. KWAPIEN, 'Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients', Studia Math. 44 (1972) 583-595.
19. 0-semigroups on Hubert space', Indiana Univ. Math. J. 45 (1996) 945-959.
20. J. LINDENSTRAUSS and L. TZAFRIRI, Classical Banach spaces I (Springer, Berlin, 1977).
21. J. LINDENSTRAUSS and L. TZAFRIRI, Classical Banach spaces II (Springer, Berlin, 1979).
22. B. MAUREY, Type et cotype dans les espaces munis de structures locales inconditionnelles, Séminaire Maurey-Schwartz (1973/74) 24-25 (École Polytechnique, Paris, 1974).
23. ∞ functional calculus', Miniconference on Operator Theory and Partial Differential Equations, Proceedings of the Centre for Mathematical Analysis 14 (Australian National University, Canberra, 1986), pp. 210-231.
24. ∞ functional calculus', Miniconference on Operators in Analysis, Proceedings of the Centre for Mathematical Analysis 24 (Australian National University, Canberra, 1989), pp. 159-172.
25. G. PISIER, 'Some results on Banach spaces without local unconditional structures', Compositio Math. 37 (1978) 3-19.
26. G. PISIER, Les inégalités de Khintchine-Kahane d'après C. Borell, Séminaire sur la géométrie des espaces de Banach (1977/78) 7 (École Polytechnique, Paris, 1978).
27. G. PISIER, 'Quotients of Banach spaces of cotype q', Proc. Amer. Math. Soc. 85 (1982) 32-36.
28. G. PISIER, Factorization of linear operators and geometry of Banach spaces, CBMS Regional Conference Series in Mathematics 60 (American Mathematical Society, Providence, R.I., 1986).
29. J. PRÜSS, Evolutionary integral equations and applications, Monographs in Mathematics 87 (Birkhäuser, Basel, 1993).
30. J. PRÜSS and H. SOHR, 'On operators with bounded imaginary powers in Banach spaces', Math. Z. 203 (1990) 429-452.