@article{CM_1983__50_1_83_0, author = {Lewis, D. R.}, title = {The dimensions of complemented hilbertian subspaces of uniformly convex {Banach} lattices}, journal = {Compositio Mathematica}, pages = {83--92}, publisher = {Martinus Nijhoff Publishers}, volume = {50}, number = {1}, year = {1983}, mrnumber = {719068}, zbl = {0531.46017}, language = {en}, url = {http://archive.numdam.org/item/CM_1983__50_1_83_0/} }
TY - JOUR AU - Lewis, D. R. TI - The dimensions of complemented hilbertian subspaces of uniformly convex Banach lattices JO - Compositio Mathematica PY - 1983 SP - 83 EP - 92 VL - 50 IS - 1 PB - Martinus Nijhoff Publishers UR - http://archive.numdam.org/item/CM_1983__50_1_83_0/ LA - en ID - CM_1983__50_1_83_0 ER -
Lewis, D. R. The dimensions of complemented hilbertian subspaces of uniformly convex Banach lattices. Compositio Mathematica, Tome 50 (1983) no. 1, pp. 83-92. http://archive.numdam.org/item/CM_1983__50_1_83_0/
[1] Some results on convex bodies and Banach spaces. Proc. Int. Symp. on Linear Spaces. Jerusalem, 1961, 123-160. | MR | Zbl
:[2] The dimensions of almost spherical sections of convex bodies. Acta Math. 139 (1977) 53-94. | MR | Zbl
, and :[3] Relations between some constants associated with finite-dimensional Banach spaces. Israel J. Math. 9 (1971) 346-361. | MR | Zbl
and :[4] On p-absolutely summing constants of Banach spaces. Israel J. Math. 7 (1969) 151-163. | MR | Zbl
:[5] Banach ideals of operators with applications. J. Func. Anal. 14 (1973) 85-129. | MR | Zbl
, and :[6] Absolutely summing operators and local unconditional structure. Acta Math. 133 (1974) 27-48. | MR | Zbl
and :[7] Extremum problems with inequalities as subsidiary conditions. Courant Anniversity Volume, Interscience, New York, 1948, 187-204. | MR | Zbl
:[8] On the local structure of subspaces of Banach lattices. Israel J. Math. 20 (1975) 292-299. | MR | Zbl
, and :[9] Theoremes des factorisation dans les espaces reticules. Seminaire Maurey-Schwartz, 1973 -1974, Exposes No. XXII et XXIII. | Numdam | MR | Zbl
,[10] Ellipsoids defined by Banach ideal norms, to appear in Mathematika. | MR | Zbl
,[11] Hilbertian and complemented finite dimensional subspaces of Banach lattices and unitary ideals. | Zbl
and :[12] Classical Banach Spaces, Volume II, Functions Spaces. | Zbl
and ,[13] Type et cotype dans les espaces munis de structures locales inconditionnelles. Seminaire Maurey-Schwartz, 1973-1974, Exposes XXIV et XXV. | Numdam | MR | Zbl
,[14] Un theoreme de prolongement. C.R. Acad. Sci. Paris 279 (1974) 329-332. | MR | Zbl
,[15] Theoremes de factorisation pour les operators lineaires a valeurs dans les espaces LP. Asterisque 11, Societe Mathematique de France, 1974. | Numdam | MR | Zbl
,[16] Localization techniques in LP-spaces. Studia Math. 52 (1974) 263-289. | MR | Zbl
and ,[17] Absolut p-summievende Abbiblungen in normierten Raumen, Studia Math. 28 (1966) 333-352. | MR | Zbl
,[18] Embedding spaces of operators into certain Banach lattices. The Altgeld Book, 1976, University of Illinois.
,[19] Finite dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace class Sp, to appear Studia Math. | MR | Zbl
,[20] Random factorizations of operators between Banach spaces, to appear. | MR | Zbl
and :[21] Projections onto Hilbertian subspaces of Banach spaces, to appear. | MR | Zbl
and :[22] MR
, to appear. |