|
|
|
Список литературы
|
|
|
1. |
Alonso-Gutiérrez D., Bastero J., “The variance conjecture on hyperplane projections of the $\ell_p^n$ balls”, Rev. Mat. Iberoam., 34:2 (2018), 879–904 |
2. |
Alonso-Gutiérrez D., Passenbrunner M., Prochno J., “Probabilistic estimates for tensor products of random vectors”, Proc. Amer. Math. Soc., 144:5 (2016), 2133–2148 |
3. |
Alonso-Gutiérrez D., Prochno J., “On the geometry of random convex sets between polytopes and zonotopes”, J. Math. Anal. Appl., 450:1 (2017), 670–690 |
4. |
Bennett C., Sharpley R. C., Interpolation of operators, Pure Appl. Math., 129, Acad. Press, Boston, MA, 1988 |
5. |
Bloom S., Kerman R., “Weighted $L_\Phi$ integral inequalities for operators of Hardy type”, Studia Math., 110:1 (1994), 35–52 |
6. |
Bretagnolle J., Dacunha-Castelle D., “Application de l'étude de certaines formes linéaires aléatoires au plongement d'espaces de Banach dans des espaces ${L}^p$”, Ann. Sci. Ećole Norm. Sup. (4), 2:4 (1969), 437–480 |
7. |
Gordon Y., Litvak A., Schütt C., Werner E., “Geometry of spaces between polytopes and related zonotopes”, Bull. Sci. Math., 126:9 (2002), 733–762 |
8. |
Grothendieck A., “Résumé de la théorie métrique des produits tensoriels topologiques”, Bol. Soc. Mat. Sao Paulo, 8 (1953), 1–79 |
9. |
Johnson W. B., Maurey B., Schechtman G., Tzafriri L., “Symmetric structures in Banach spaces”, Mem. Amer. Math. Soc., 19, no. 217, 1979, 1–298 |
10. |
Junge M., “The optimal order for the $p$-th moment of sums of independent random variables with respect to symmetric norms and related combinatorial estimates”, Positivity, 10:2 (2006), 201–230 |
11. |
Красносельский М. А., Рутицкий Я. Б., Выпуклые функции и пространства Орлича, Физматлит, М., 1958 |
12. |
Kwapień S., Schütt C., “Some combinatorial and probabilistic inequalities and their application to Banach space theory”, Studia Math., 82:1 (1985), 91–106 |
13. |
Kwapień S., Schütt C., “Some combinatorial and probabilistic inequalities and their application to Banach space theory. II”, Studia Math., 95:2 (1989), 141–154 |
14. |
Lechner R., Passenbrunner M., Prochno J., “Uniform estimates for averages of order statistics of matrices”, Electron. Commun. Probab., 20:27 (2015), 1–12 |
15. |
Lechner R., Passenbrunner M., Prochno J., “Estimating averages of order statistics of bivariate functions”, J. Theoret. Probab., 30:4 (2017), 1445–1470 |
16. |
Lindenstrauss J., Pelczyński A., “Absolutely summing operators in ${L}_p$-spaces and their applications”, Studia Math., 29:3 (1968), 275–326 |
17. |
Lindenstrauss J., Tzafriri L., Classical Banach spaces, v. I, Ergeb. Math. Grenzgeb. (3), 92, Springer-Verlag, Berlin–New York, 1977 |
18. |
Lindenstrauss J., Tzafriri L., Classical Banach spaces, v. II, Ergeb. Math. Grenzgeb. (3), 97, Springer-Verlag, Berlin–New York, 1979 |
19. |
Lorentz G. G., “Some new functional spaces”, Ann. of Math. (2), 51:1 (1950), 37–55 |
20. |
Montgomery-Smith S., Semenov E., “Random rearrangements and operators”, Voronezh Winter Math. Schools, Amer. Math. Soc. Transl. Ser. 2, 184, 1998, 157–183 |
21. |
Montgomery-Smith S., “Comparison of Orlicz–Lorentz spaces”, Studia Math., 103:2 (1992), 161–189 |
22. |
Orlicz W., “Über eine gewisse Klasse von Räumen vom Typ B”, Bull. Intern. Acad. Pol., 8 (1932), 207–220 |
23. |
Pietsch A., Eigenvalues and $s$-numbers, Cambridge Stud. Adv. Math., 13, Cambridge Univ. Press, Cambridge, 1987 |
24. |
Pisier G., The volume of convex bodies and Banach space geometry, Cambridge Tracts Math., 94, Cambridge Univ. Press, Cambridge, 1989 |
25. |
Prochno J., “A combinatorial approach to Musielak–Orlicz spaces”, Banach J. Math. Anal., 7(213):1, 132–141 |
26. |
Prochno J., “Musielak–Orlicz spaces that are isomorphic to subspaces of $L_1$”, Ann. Funct. Anal., 6:1 (2015), 84–94 |
27. |
Prochno J., Schütt C., “Combinatorial inequalities and subspaces of $L_1$”, Studia Math., 211:1 (2012), 21–39 |
28. |
Rao M. M., Ren Z. D., Theory of Orlicz spaces, Monogr. Textbooks Pure Appl. Math., 146, Marcel Dekker, Inc., New York, 1991 |
29. |
Schechtman G., “Matrix subspaces of $L_1$”, Studia Math., 215:3 (2013), 281–285 |
30. |
Schütt C., “On the positive projection constant”, Studia Math., 78:2 (1984), 185–198 |
31. |
Schütt C., “Lorentz spaces that are isomorphic to subspaces of $L^1$”, Trans. Amer. Math. Soc., 314:2 (1989), 583–595 |
32. |
Schütt C., “On the embedding of $2$-concave Orlicz spaces into $L^1$”, Studia Math., 113:1 (1995), 73–80 |
33. |
Tomczak-Jaegermann N., Banach–Mazur distances and finite-dimensional operator ideals, Pitman Monogr. Surveys Pure Appl. Math., 38, Longman Sci. & Techn., Harlow–New York, 1989 |