Semi-groupes holomorphes et -convexité
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1980-1981)
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topPisier, G.. "Semi-groupes holomorphes et $K$-convexité." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1980-1981): 1-30. <http://eudml.org/doc/109252>.
@article{Pisier1980-1981,
author = {Pisier, G.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {K-convex Banach spaces; Beurling-Kato criterion for holomorphic semi- groups; cotype; bounded approximation property},
language = {fre},
pages = {1-30},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Semi-groupes holomorphes et $K$-convexité},
url = {http://eudml.org/doc/109252},
year = {1980-1981},
}
TY - JOUR
AU - Pisier, G.
TI - Semi-groupes holomorphes et $K$-convexité
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1980-1981
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 30
LA - fre
KW - K-convex Banach spaces; Beurling-Kato criterion for holomorphic semi- groups; cotype; bounded approximation property
UR - http://eudml.org/doc/109252
ER -
References
top- [1] J. Arazy: On the geometry of the unit ball of unitary matrix spaces. Integral equations and operator theory. A paraître. Zbl0459.47029MR606129
- [2] W. Beckner: Inequalities in Fourier analysis, Annals of Maths.102 (1975) 159-182. Zbl0338.42017MR385456
- [3] S. Bellenot: Uniformly complemented lnp's in quasi-reflexive Banach spaces, Israel J. Math., à paraître. Zbl0469.46011
- [4] Y. Benyamini et Y. Gordon: Random factorizations of operators between Banach spaces, J. d'Analyse Math. de Jerusalem, à paraître. Zbl0474.47010
- [5] A. Beurling: On analytic extension of semi-groups of operators, Journal of Functional Analysis6 (1970) 387-400. Zbl0203.13901MR282248
- [6] P. Butzer, H. Berens: Semi-groups of operators and approximation, Springer Verlag, Berlin- Heidelberg- New York1967. Zbl0164.43702MR230022
- [7] T. Figiel: On a recent result of G. Pisier, Longhorn Notes, University of Texas at Austin, 1980/81. MR832214
- [8] T. Figiel, J. Lindenstrauss et V. Milman: The dimension of almost spherical sections of convex bodies. Zbl0375.52002
- [9] N. Tomczak-Jaegermann: Projections onto hilbertian subspaces of Banach spaces, Israel J. Math.33 (1979) 155-171. Zbl0427.46010MR571251
- [10] D.P. Giesy: On a convexity condition in normed linear spaces, Trans. A.M.S.125 (1966) 114-146. Zbl0183.13204MR205031
- [11] E. Hille, R. Phillips: Functional analysis and semi-groups, Amer. Math. Soc. Colloquium Publ.31 (1957) 473-478. Zbl0078.10004MR89373
- [12] R.C. James: Some self-dual properties of normed linear spaces, Annals of Math. Studies69 (1972) 159-176. Zbl0233.46025MR454600
- [13] W.B. Johnson et L. Tzafriri: On the local structure of subspaces of Banach lattices, Israel J. Math.20 (1975) 292-299. Zbl0311.46003MR420210
- [14] T. Kato: Perturbation theory for linear operators, Springer Verlag, Berlin- Heidelberg- New York1966. Zbl0148.12601MR203473
- [15] T. Kato: A characterization of holomorphic semi-groups, Proc. A.M.S.25 (1970) 495-498. Zbl0199.45604MR264456
- [16] J.L. Krivine: Sous-espaces de dimension finie des espaces de Banach réticulés, Annals of Maths.104 (1976) 1-29. Zbl0329.46008MR407568
- [17] S. Kwapień: Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients, Studia Math.44 (1972) 583-595. Zbl0256.46024MR341039
- [18] S. Kwapień: A theorem on the Rademacher series with vector valued coefficients, Probability in Banach spaces, Springer Lect. Notes in Math. No 526 (1976) 157-158. Zbl0337.60004MR451333
- [19] J. Lopez et K. Ross: Sidon sets, Lecture Notes in Pure and Applied Maths. No 13, Marcel Dekker, New York1975. Zbl0351.43008MR440298
- [20] M.B. Marcus et G. Pisier: Random Fourier series with applications to harmonie analysis, Annals of Math. Studies, Princeton University Press, à paraître. Zbl0474.43004MR630532
- [21] B. Maurey et G. Pisier: Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach, Studia Math.58 (1976) 45-90. Zbl0344.47014MR443015
- [22] Pei-Kee-Lin: Some problems in the geometry of Banach spaces, Ph.D. Thesis, Ohio State Univ. (ch. 13: The p-convexity and q-concavity of unitary matrix spaces) 1980. Zbl0451.46009
- [23] G. Pisier: Some applications of the complex interpolation method to Banach lattices, Journal d'Analyse de Jerusalem35 (1979) 264-281. Zbl0427.46048MR555306
- [24] G. Pisier: Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un Hilbert, Annales de l'E.N.S.13 (1980) 23-43. Zbl0436.47013MR584081
- [25] G. Pisier: Holomorphic semi-groups and the geometry of Banach spaces, à paraître. Zbl0487.46008
- [26] M. Reed et B. Simon: Methods of modern mathematical physics, II, Fourier analysis, self-adjointness, academic Press, New-York, 1975. Zbl0308.47002MR493420
- [27] Séminaire Maurey-Schwartz 1972-73, Ecole Polytechnique, Paris.
- [28] Séminaire sur la géométrie des espaces de Banach 1977-78, Ecole Polytechnique, Palaiseau. Zbl0377.00009
- [29] Séminaire d'analyse fonctionnelle 1978-79, Ecole Polytechnique, Palaiseau. Zbl0401.00011
- [30] Séminaire d'analyse fonctionnelle 1979-80, Ecole Polytechnique, Palaiseau.
- [31] E.M. Stein: Topics in harmonic analysis related to the Littlewood-Paley theory, Annals of Math. Studies No 63, Princeton University Press, 1970. Zbl0193.10502MR252961
- [32] L. Tzafriri: On Banach spaces with unconditional basis, Israel J. Math.17 (1974) 84-93. Zbl0281.46013MR348456
- [33] E.B. Davies: One parameter semi-groups, London Math. Soc. Monographs No 15, Academic Press, London, 1980. Zbl0457.47030MR591851
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