Geometry of Banach spaces

• 1992 D.E. Alspach, S. Argyros, "Complexity of weakly null sequences." Dissertationes Math. 321, 44 pp. [MR93j:46014] (Also arXiv:math.FA/9202204.)
• 2001 D. Alspach, E. Odell, "L_p spaces." In: Handbook of the geometry of Banach spaces (vol. 1), eds. W. Johnson and J. Lindenstrauss, Elsevier; pp. 123-159.
• 1977 Z. Altshuler, "A Banach space with a symmetric basis which contains no l_p or c₀, and all its symmetric basic sequences are equivalent." Compositio Math. 35:2, 189-195. [MR56#16331]
• 1986 T. Alvarez, M. Gonzalez, V.M. Onieva, "A note on three-space Banach space ideals." Arch. Math. 46:2, 169-170. [MR87g:46021]
• 2000 G. Androulakis, P.G. Casazza, D.N. Kutzarova, "Some more weak Hilbert spaces." Canad. Math. Bull. 43:3, 257-267.
• 1999 G. Androulakis, E. Odell, "Distorting mixed Tsirelson spaces." Israel J. Math. 109, 125-149. [MR2000f:46012] (Also arXiv:math.FA/9604217.)
• 2003 G. Androulakis, T. Schlumprecht, "The Banach space S is complementably minimal and subsequentially prime." Studia Math. 156:3, 227-242.
• 1992 S.A. Argyros, I. Deliyanni, "Banach spaces of the type of Tsirelson." arXiv:math.FA/9207206.
• 1997 S.A. Argyros, I. Deliyanni, "Examples of asymptotic l₁ Banach spaces." Trans. Amer. Math. Soc. 349:3, 973-995. [MR97f:46021] (Also arXiv:math.FA/9407210.)
• 1998 S.A. Argyros, I. Deliyanni, D.N. Kutzarova, A. Manoussakis, "Modified mixed Tsirelson spaces." J. Funct. Anal. 159:1, 43-109. [MR2000j:46031] (Also arXiv:math.FA/9704215.)
• 2003 S.A. Argyros, I. Deliyanni, A. Manoussakis, "Distortion and spreading models in modified mixed Tsirelson spaces." Studia Math. 157:3, 199-236. [MR2005f:46021]
• 2000 S.A. Argyros, V. Felouzis, "Interpolating hereditarily indecomposable Banach spaces." J. Amer. Math. Soc. 13:2, 243-294.
• 2003 S.A. Argyros, J. Lopez-Abad, S. Todorcevic, "A class of Banach spaces with no unconditional basic sequence." C.R. Math. Acad. Sci. Paris 337:1, 43-48. [MR2004f:46018]
• 1998 S.A. Argyros, S. Mercourakis, A. Tsarpalias, "Convex unconditionality and summability of weakly null sequences." Israel J. Math. 107, 157-193. [MR99m:46021]
• 2004 S.A. Argyros, A. Tolias, "Methods in the theory of hereditarily indecomposable Banach spaces." Memoirs Amer. Math. Soc. 170 (806), 1-114. [MR2005f:46022]
• 1986 S.F. Bellenot, "Tsirelson superspaces and l_p." J. Funct. Anal. 69:2, 207-228. [MR88f:46033]
• 2001 J. Bernues, I. Deliyanni, "Families of finite subsets of N of low complexity and Tsirelson type spaces." Math. Nachr. 222, 15-29. [MR2001k:46018]
• 2003 J. Bernues, J. Pascual, "On total incomparability of mixed Tsirelson spaces." Czechoslovak Math. J. 53:4, 841-859. [MR2004j:46011] (Also arXiv:math.FA/0103003.)
• 2002 A. Blanco, "Weak amenability of A(E) and the geometry of E." J. London Math. Soc. (2) 66:3, 721-740. [MR2003i:46044]
• 1985 J. Bourgain, P.G. Casazza, J. Lindenstrauss, L. Tzafriri, "Banach spaces with a unique unconditional basis, up to permutation." Memoirs Amer. Math. Soc. 54:4 (322), 111 pp. [MR86i:46014]
• 1979 A.V. Bukhvalov, A.I. Veksler, G.Ya. Lozanovskii, "Banach lattices - some Banach aspects of their theory." Russian Math. Surveys 34:2, 159-212 (transl. from Russian). [MR80f:46019]
• 2001 P.G. Casazza, "Approximation properties." In: Handbook of the geometry of Banach spaces (vol. 1), eds. W. Johnson and J. Lindenstrauss, Elsevier; pp. 271-316.
• 1980 P.G. Casazza, Bor-Luh Lin, R.H. Lohman, "On nonreflexive Banach spaces which contain no c₀ or l_p." Canad. J. Math. 32:6, 1382-1389. [MR82d:46022]
• 1984 P.G. Casazza, W.B. Johnson, L. Tzafriri, "On Tsirelson's space." Israel J. Math. 47:2/3, 81-98. [MR85m:46013]
• 1998 P.G. Casazza, N.J. Kalton, "Uniqueness of unconditional bases in Banach spaces." Israel J. Math. 103, 141-175. [MR99d:46007] (Also arXiv:math.FA/9610210.)
• 1999 P.G. Casazza, N.J. Kalton, "Uniqueness of unconditional bases in c₀-products." Studia Math. 133:3, 275-294. [MR2000c:46017] (Also arXiv:math.FA/9811145.)
• 2003 P.G. Casazza, N.J. Nielsen, "A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2." Studia Math. 157:1, 1-16. [MR2004c:46015] (Also arXiv:math.FA/0102212.)
• 1989 P.G. Casazza, T.J. Shura, "Tsirelson's space." Lect. Notes Math. 1363, 204 pp. [MR90b:46030]
• 1993 J.M.F. Castillo, F. Sanchez, "Remarks on some basic properties of Tsirelson's space." Note di Matematica 13:1, 117-122. [MR95f:46011]
• 1988 R. Deville, V.E. Zizler, "A note on cotype of smooth spaces." Manuscripta Math. 62:3, 375-382. [MR89i:46017]
• 1995 S.J. Dilworth, M. Girardi, D. Kutzarova, "Banach spaces which admit a norm with the uniform Kadec-Klee property." Studia Math. 112:3, 267-277. [MR96a:46023]
• 2003 S.J. Dilworth, N.J. Kalton, D. Kutzarova, "On the existence of almost greedy bases in Banach spaces." Studia Math. 159:1, 67-101.
• 1991 A. Edgington, "Some more weak Hilbert spaces." Studia Math. 100:1, 1-11. [MR93b:46028]
• 1999 V. Farmaki, "On spreading c₀-sequences in Banach spaces." Studia Math. 135:1, 83-102. [MR2000i:46008]
• 1999 H. Fetter, "From l^p-spaces to Gowers-Maurey spaces." XXXI National Congress of the Mexican Math. Soc., 209-218. [MR2001h:46023]
• 1974 T. Figiel, W.B. Johnson, "A uniformly convex Banach space which contains no l_p." Compositio Math. 29:2, 179-190. [MR50#8011]
• 2003 T. Figiel, R. Frankiewich, C. Ryll-Nardzewski, "Selecting basic sequences in phi-stable Banach spaces." Studia Math. 159:3, 499-515.
• 2002 I. Gasparis, "A continuum of totally incomparable hereditarily indecomposable Banach spaces." Studia Math. 151:3, 277-298. [MR2003f:46014]
• 2003 I. Gasparis, "Strictly singular non-compact operators on hereditarily indecomposable Banach spaces." Proc. Amer. Math. Soc. 131:4, 1181-1189.
• 2001 A.A. Giannopoulos, V.D. Milman, "Euclidean structure in finite dimensional normed spaces." In: Handbook of the geometry of Banach spaces (vol. 1), eds. W. Johnson and J. Lindenstrauss, Elsevier; pp. 707-779.
• 1997 M. Girardi, W.B. Johnson, "Universal non-completely-continuous operators." Israel J. Math. 99, 207-219. [MR98i:46010] (Also arXiv:math.FA/9504205.)
• 2001 G. Godefroy, "Renormings of Banach spaces." In: Handbook of the geometry of Banach spaces (vol. 1), eds. W. Johnson and J. Lindenstrauss, Elsevier; pp. 781-835. [MR2003f:46023]
• 2000 R. Gonzalo, "High order smoothness and roughness in Banach spaces." Quart. J. Math. 51, 75-86.
• 1994 W.T. Gowers, "A solution to Banach's hyperplane problem." Bull. London Math. Soc. 26:6, 523-530. [MR96a:46025]
• 1995 W.T. Gowers, "Recent results in the theory of infinite-dimensional Banach spaces." Proc. Internat. Congress Math., Zürich 1994, 933-942. [MR97h:46022]
• 1996 W.T. Gowers, "A new dichotomy for Banach spaces." Geom. and Funct. Anal. 6:6, 1083-1093. [MR97m:46017]
• 1997 W.T. Gowers, B. Maurey, "Banach spaces with small spaces of operators." Math. Ann. 307:4, 543-568. [MR98g:46018]
• 1992 S. Guerre-Delabrière, "Classical sequences in Banach spaces." Marcel Dekker, inc. [MR94d:46013]
  See also a book review by P.G. Casazza in:
  1994 Bull. Amer. Math. Soc. 30:1, 117-124 (and erratum, 327-328).
• 1999 R. Haydon, "Trees in renorming theory." Proc. London Math. Soc. (3) 78:3, 541-584. [MR2000d:46011]
• 1998 R. Judd, E. Odell, "Concerning Bourgain's l₁-index of a Banach space." Israel J. Math. 108, 145-171. [MR2000k:46013]
• 1993 N.J. Kalton, "Calderón couples of rearrangement invariant spaces." Studia Math. 106:3, 233-277. [MR94k:46152]
• 1992 D.H. Leung, "Lattice absolutely summing operators." J. Operator Theory 27:1, 157-167. [MR94i:47034]
• 2003 D.H. Leung, W.-K. Tang, "The l¹-indices of Tsirelson type spaces." Proc. Amer. Math. Soc. 131:2, 511-521. [MR2003i:46014]
• 2003 D.H. Leung, W.-K. Tang, "The Bourgain l¹-index of mixed Tsirelson space." J. Funct. Anal. 199:2, 301-331. [MR2004b:46015]
• 2004 D.H. Leung, W.-K. Tang, "l₁-spreading models in mixed Tsirelson space." Israel J. Math. 143, 223-238.
• 2001 A. Manoussakis, "On the structure of a certain class of mixed Tsirelson spaces." Positivity 5:3, 193-238. [MR2002g:46021]
• 2003 A. Manoussakis, "Some remarks on spreading models and mixed Tsirelson spaces." Proc. Amer. Math. Soc. 131:8, 2515-2525. [MR2005c:46019]
• 2004 A. Manoussakis, "A note on certain equivalent norms on Tsirelson's space." Glasgow Math. J. 46, 379-390. [MR2005d:46016]
• 2001 E. Matouskova, "Translating finite sets into convex sets." Bull. London Math. Soc. 33:6, 711-714. [MR2002f:46019]
• 1983 B. Maurey, "Sous-espaces l^p des espaces de Banach." Asterisque 105/106, 199-215. [MR85c:46012]
• 1998 B. Maurey, "A note on Gowers' dichotomy theorem." In: Convex geometric analysis (MSRI Publ. 34), 149-157. [MR2000b:46015]
• 2003 B. Maurey, "Banach spaces with few operators." In: Handbook of the geometry of Banach spaces (vol. 2), eds. W. Johnson and J. Lindenstrauss, Elsevier; pp. 1247-1297. [MR2004m:46014]
• 1992 V. Milman, "Dvoretzky's theorem - thirty years later." GAFA 2:4, 455-479. [MR93i:46002]
• 1985 E. Odell, "A nonseparable Banach space not containing a subsymmetric basic sequence." Israel J. Math. 52:1/2, 97-109. [MR87e:46027]
• 2002 E. Odell, "On subspaces, asymptotic structure, and distortion of Banach spaces; connections with logic." London Math. Soc. Lecture Note Ser., 262, 189-267. [MR2004b:46016]
• 1994 E. Odell, Th. Schlumprecht, "The distortion problem." Acta Math. 173:2, 259-281. [MR96a:46031]
• 1995 E. Odell, Th. Schlumprecht, "Distortion and stabilized structure in Banach spaces; new geometric phenomena for Banach and Hilbert spaces." Proc. Internat. Congress Math., Zürich 1994, 955-965. [MR97g:46016]
• 1998 E. Odell, Th. Schlumprecht, "A problem on spreading models." J. Funct. Anal. 153:2, 249-261. [MR99c:46006] (Also arXiv:math.FA/9607207.)
• 1998 E. Odell, Th. Schlumprecht, "Asymptotic properties of Banach spaces under renormings." J. Amer. Math. Soc. 11:1, 175-188.
• 2000 E. Odell, Th. Schlumprecht, "A Banach space block finitely universal for monotone bases." Trans. Amer. Math. Soc. 352:4, 1859-1888. [MR2000i:46009]
• 2003 E. Odell, Th. Schlumprecht, "Distortion and asymptotic structure." In: Handbook of the geometry of Banach spaces (vol. 2), eds. W. Johnson and J. Lindenstrauss, Elsevier; pp. 1333-1360.
• 2000 E.W. Odell, N. Tomczak-Jaegermann, "On certain equivalent norms on Tsirelson's space." Illinois J. Math. 44:1, 51-71. [MR2001g:46034] (Also arXiv:math.FA/9804057.)
• 1997 E. Odell, N. Tomczak-Jaegermann, R. Wagner, "Proximity to l₁ and distortion in asymptotic l₁ spaces." J. Funct. Anal. 150:1, 101-145. [MR2000c:46027] (Also arXiv:math.FA/9704214.)
• 1989 G. Pisier, "The volume of convex bodies and Banach space geometry." Cambridge Univ. Press. [MR91d:52005]
• 1988 G. Pisier, "Weak Hilbert spaces." Proc. London Math. Soc. (3) 56:3, 547-579. [MR89d:46022]
• 1978 H.P. Rosenthal, "On a theorem of J.L. Krivine concerning block finite representability of l_p in general Banach spaces." J. Funct. Anal. 28:2, 197-225. [MR81d:46020]
• 1978 H.P. Rosenthal, "Some recent discoveries in the isomorphic theory of Banach spaces." Bull. Amer. Math. Soc. 84:5, 803-831. [MR80d:46023]
• 2003 F.C. Sanchez, J.M.F. Castillo, N.J. Kalton, D.T. Yost, "Twisted sums with C(K) spaces." Trans. Amer. Math. Soc. 355:11, 4523-4541. [MR2004f:46010]
• 1979 G. Schechtman, "A tree-like Tsirelson space." Pacific J. Math. 83:2, 523-530. [MR81b:46027]
• 1991 T. Schlumprecht, "An arbitrarily distortable Banach space." Israel J. Math. 76:1/2, 81-95. [MR93h:46023] (Also arXiv:math.FA/9201225.)
• 1986 E. Straeuli, "On Hahn-Banach extensions for certain operator ideals." Arch. Math. 47:1, 49-54.
• 1984 E. Tokarev, "A symmetric Banach space of functions that does not contain l_p (1<=p<infinity) or c₀." (Russian) Funct. Anal. i Pril. 18:2, 75-76. [MR85g:46036]
• 1998 N. Tomczak-Jaegermann, "From finite- to infinite-dimensional phenomena in geometric functional analysis on local and asymptotic levels." Proc. Internat. Congress Math. (Berlin 1998), vol.2 (Documenta Mathematica, extra volume), 731-742.
• 1996 N. Tomczak-Jaegermann, "Banach spaces of type p have arbitrarily distortable subspaces." Geom. and Funct. Anal. 6:6, 1074-1082. [MR98g:46020]
• 1996 H.J. Zhong, "Tsirelson's space and West decomposition of Riesz operators on it." Science in China A 39:5, 491-500. [MR97j:46003]