Geodesic
Khinchin's inequality for operators
Glasgow mathematical journal, Tome 38 (1996) no. 3, pp. 327-336

Voir la notice de l'article provenant de la source Cambridge University Press

Let be either a C*-algebra (with norm ∥ ∥) or a symmetric ideal of operators on a Hilbert space (with norm denoted by σ). Let a1..., an be self-adjoint elements, and let a0 = . 
Jameson, G. J. O. Khinchin's inequality for operators. Glasgow mathematical journal, Tome 38 (1996) no. 3, pp. 327-336. doi: 10.1017/S001708950003175X
@article{10_1017_S001708950003175X,
     author = {Jameson, G. J. O.},
     title = {Khinchin's inequality for operators},
     journal = {Glasgow mathematical journal},
     pages = {327--336},
     year = {1996},
     volume = {38},
     number = {3},
     doi = {10.1017/S001708950003175X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950003175X/}
}
TY  - JOUR
AU  - Jameson, G. J. O.
TI  - Khinchin's inequality for operators
JO  - Glasgow mathematical journal
PY  - 1996
SP  - 327
EP  - 336
VL  - 38
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950003175X/
DO  - 10.1017/S001708950003175X
ID  - 10_1017_S001708950003175X
ER  - 
%0 Journal Article
%A Jameson, G. J. O.
%T Khinchin's inequality for operators
%J Glasgow mathematical journal
%D 1996
%P 327-336
%V 38
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950003175X/
%R 10.1017/S001708950003175X
%F 10_1017_S001708950003175X

[1] 1.Garling, D. J. H. and Tomczak-Jaegermann, N., The cotype and uniform convexity of unitary ideals, Israel J. Math. 45 (1983), 175–197. Google Scholar | DOI

[2] 2.Gokhberg, I. C. and Krein, M. G., Introduction to the theory of linear nonselfadjoint operators (Amer. Math. Soc., 1969). Google Scholar

[3] 3.Haagerup, U., The Grothendieck inequality for bilinear forms on C*-algebras, Advances in Math. 56 (1985), 93–116. Google Scholar | DOI

[4] 4.Jameson, G. J. O., Summing and nuclear norms in Banach space theory, London Math. Soc. Student Texts 8 (Cambridge University Press, 1987). Google Scholar | DOI

[5] 5.Lance, E. C., Hilbert C*-modules, London Math. Soc. Lecture Notes No. 210 (Cambridge University Press, 1995). Google Scholar | DOI

[6] 6.Latala, R. and Oleszkiewicz, K., On the best constant in the Khintchine-Kahane inequality, Studia Math. 109 (1994), 101–104. Google Scholar

[7] 7.Lindenstrauss, J. and Tzafriri, L., Classical Banach spaces II (Springer-Verlag, 1979). Google Scholar | DOI

[8] 8.Lust-Piquard, F., A Grothendieck factorization theorem on 2-convex Schatten spaces, Israel J. Math. 79 (1992), 331–365. Google Scholar | DOI

[9] 9.Lust-Piquard, F. and Pisier, G., Non-commutative Khintchine and Paley inequalities, Arkiv für matematik 29 (1991), 241–260. Google Scholar | DOI

[10] 10.Pisier, G., Grothendieck's theorem for non-commutative C*-algebras with an appendix on Grothendieck's constants, J. Functional Anal. 29 (1978), 397–415. Google Scholar | DOI

[11] 11.Simon, B., Trace ideals and their applications, London Math. Soc, Lecture Notes No. 35 (Cambridge University Press, 1979). Google Scholar

Cité par Sources :