Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Bergh, J. Löfström. Interpolation spaces. An Introduction. Springer-Verlag. Berlin-Heidelberg-New York (1976).
J. Bergh, J. Peetre. On the spaces V p (0<p≤∞). Bollettino della Unione Matematica Italiana. 10 (1974) 632–648.
J. Bretagnolle. p-variation des fonctions aléatoires. Séminaire de Probabilités VI (1972) Springer Lecture Notes No. 258, p. 51–71.
P.L. Butzer, H. Behrens. Semi-groups of operators and approximation. Springer-Verlag. Berlin-Heidelberg-New York (1967).
W.J. Davis, W.B. Johnson and J. Lindenstrauss. The ℓ n1 problem and degrees of non reflexivity. Studia Math. 55 (1976), 123–139.
W.J. Davis, J. Lindenstrauss. The ℓ n1 problem and degrees of non-reflexivity II. Studia Math. 58 (1976) 179–196.
W.J. Davis, T. Figiel, W. Johnson, A. Pełczyński. Factoring weakly compact operators. Journal of Funct. Anal. 17 (1974) 311–327.
J. Farahat. On the problem of k structure. Israel J. Math. 28 (1977) 141–150.
T. Holmsted. Interpolation of quasi-normed spaces. Math. Scand 26 (1970) 177–199.
R.C. James. A nonreflexive Banach space that is uniformly nonoctahedral. Israel J. Math. 18 (1974) 145–155.
R.C. James. Nonreflexive spaces of type 2. Israel J. Math. 30 (1978) 1–13.
R.C. James. Some self-dual properties of normed linear spaces. Annals of Math Studies. No. 69 (1972) 159–175.
R.C. James. Uniformly nonsquare Banach spaces. Annals of Math. 80 (1964) 542–550.
R.C. James. Banach spaces quasi-reflexive of order one. Studia Math. 60 (1977) 157–177.
R.C. James. Characterizations of reflexivity. Studia Math. 23 (1964) 205–216.
R.C. James. Reflexivity and the supremum of linear functionals. Annals of Math. 66 (1957) 159–169.
R.C. James, J. Lindenstrauss. The octohedral problem for Banach spaces. Proceedings of the Seminar on Random Series, Convex Sets, and Geometry of Banach Spaces. Aarhus University (Denmark) 1974 p. 100–120.
W. Johnson, L. Tzafrari. Some more Banach spaces which do not have local unconditional structure. Houston J. Math. 3 (1977) 55–60.
M.I. Kadeč. The superreflexivity property of a Banach space in terms of the closeness of its finite dimensional subspaces to Euclidean spaces. Functional analysis and its Applications 12 (1978) 142–144.
A. Kruglov. On some spaces of means. Vestnik Leningr. Univ. 1 (1972) 155–156.
A. Kruglov, M. Solomjak. Interpolation of operators in the spaces V p . Vestnik Leningrad Univ. (1971) No. 13. Translated Vol 4 (1977) 209–216.
S. Kwapień. Isomorphic characterization of inner-product spaces by orthogonal series with vector valued coefficients. Studia Math. 44 (1972) 583–595.
J. Lindenstrauss, A. Pełczyński. Absolutely summing operators in L p -spaces and their applications. Studia Math. 29 (1968) 275–326.
J. Lindenstrauss, L. Tzafriri. Classical Banach spaces I. Springer-Verlag. Berlin, Heidelberg, New York (1977).
J. Lindenstrauss, L. Tzafriri. Classical Banach spaces II. Springer-Verlag. Berlin, Heidelberg, New York (1979).
B. Maurey, G. Pisier. Séries de variables aléatories vectorielles indépendantes et propriétés géométriques des espaces de Banach. Studia Math. 58 (1976), 45–90.
P. Millar. Path behavior of processes with stationary independent increments. Z. für Wahrshein. 17 (1971), 53–73.
M. Milman. Complex interpolation and geometry of Banach spaces. Ann. Mat. Pura Appl. 136 (1984), 317–328.
G. Pisier. Martingales with values in uniformly convex spaces. Israel J. Math 20 (1975), 326–350.
G. Pisier. Holomorphic semi-groups and the geometry of Banach spaces. Annals of Math. 115 (1982), 375–392.
V. Ptak. Biorthogonal systems and reflexivity of Banach spaces. Čekoslovak Math. Journal 9 (1959), 319–326.
N. Tomczak-Jaegermann. Computing 2-summing norm with few vectors. Arkiv för Matematik 17 (1979), 273–277.
Q. Xu. In this volume.
Q. Xu. In preparation
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Pisier, G., Xu, Q. (1987). Random series in the real interpolation spaces between the spaces v p . In: Lindenstrauss, J., Milman, V.D. (eds) Geometrical Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078146
Download citation
DOI: https://doi.org/10.1007/BFb0078146
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18103-3
Online ISBN: 978-3-540-47771-6
eBook Packages: Springer Book Archive