Thomas B. Schlumprecht: Research Articles

Preprints

Most of the papers can also be downloaded from Banach Space Bulletin Board.)

  • On the structure of asymptotic l_p spaces (with E.Odell and A.Zsak), submitted.

  • A universal reflexive space for the class of uniformly convex Banach spaces (with E.Odell), submitted.

  • Partial Unconditionality, (with S. Dilworth, E. Odell and a.Zsak) submitted.

  • On the Coefficient Quantization Property, (with S. Dilworth, E. Odell and a.Zsak)

  • On norm closed ideals in L(l_p,l_q), (with B. Sari, N.~Tomczak-Jaegermann and B.Sari) submitted.

  • On simple spaces, (with B.~Sari, N.~Tomczak-Jaegermann, and V.G.~Troitsky)

  • On the robustness of option pricing , preprint.

  • On the subsymmetric sequences in S , (with G.Androulakis), preprint.


    Accepted

  • The lattice of closed ideals in the Banach algebra of operators on a certain dual Banach space , (with N-J Laustsen and A.Zsak), to appear in Journal of Operator Theory.


    In Print

  • On the structure of the spreading models of a Banach space, (with G. Androulakis, E. Odell and N. Tomczak-Jaegermann Canad. J. Math. 57 (2005), no. 4, 673--707.

  • How many operators do there exist on a Banach space? Contemp. Math. 321 Amer. Math. Soc., Providence, RI, 2003.

  • The Banach space S is complementably minimal and subsequentially prime , (with G.Androulakis), Studia Math. 156 (2003), no. 3, 227--242.

  • Trees and Branches in Banach spaces (with E.Odell) Trans. Amer. Math. Soc. 354 (2002), no. 10, 4085--4108.

  • Strictly singular, non-compact operator exist on the space of Gowers and Maurey (with G.Androulakis), J. London Math. Soc. (2) 64 (2001), no. 3, 655--674.

  • A Banch space block finitely universal for monoton bases (with E.Odell), Transaction of the American Mathematical Society. 352 (2000), no. 4, 1859--1888.

    Banach Space Bulletin Board.)

  • An analytic solution to the Busemann-Petty problem on sections of convex bodies (with R.J.Gardner and A.Koldobsky), Annals of Mathematics 149 (1999), no. 2, 691--703.

  • On Asymptotic structure, the Szlenk index and UKK properties in Banach spaces (with H.Knaust and E.Odell), Positivity 3 (1999), no. 2, 173--199.

  • Solution to the Busemann-Petty problem (with R.J.Gardner and A.Koldobsky), Comptes Rendus de l'Academie des Sciences. 328 (1999), no. 1, 29--34.

  • Asymptotic properties of Banach spaces under renormings (with E.Odell), Journal of the American Mathematical Society, 11 (1998), no. 1, 175--188.

  • A problem on spreading models (with E.Odell)Journal of Functional Analysis 153 (1998), no. 2, 249--261.

  • On the Gaussian measure of the intersection of symmetric, convex sets (with G.Schechtmann and J.Zinn), Annals of Probability, 26 (1998), no. 1, 346--35.

  • Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables (with P.Hiczenko, S.Kwapien, W.Li, G.Schechtman, J.Zinn), el. Journal of Probability, 3 (1998), No. 2, 26 pp. (electronic).

  • On the richness of the set of $p$'s in Krivine's theorem (with E.Odell). Geometric aspects of Functional Analysis (Gafa) , 177-198, Oper. Theory Adv. Appl., 77, Basel, 1995.

  • The distortion problem (with E.Odell). Acta Math., 173no. 2, (1994), 259-281.

  • On weakly null FDDs in Banach spaces (with E.Odell and H.Rosenthal). Israel J.Math. 84 (1993), no. 3, 333-351.

  • The distortion of Hilbert space (with E.Odell). Geom. Funct. Anal. 3 (1993), no. 2, 201--207.

  • Limited sets in $C(K)$-spaces and examples concerning the Gel\cprime fand-Phillips-property. Math. Nachr. 157 (1992), 51-64.

  • A Josefson-Nissenzweig theorem for Fréchet spaces (with M. Lindström). Bull. London Math. Soc. 25 (1993), no. 1, 55-58.

  • An arbitrarily distortable Banach space. Israel J. Math. 76 (1991), no. 1-2, 81--95.

  • Limited sets in injective tensor products. Functional analysis (Austin, TX, 1987/1989) , 133- 158, Lecture Notes in Math., 1470 , Springer, 1991.

  • A limited set that is not bounding. Proc. Roy. Irish Acad. Sect. A 90 (1990), no. 2, 125-129.

  • On limitedness in locally convex spaces (with M.Lindström). Arch. Math. (Basel) 53 (1989), no. 1, 65-74.

  • On dual spaces with bounded sequences without weak*-convergent convex blocks. Proc. Amer. Math. Soc. 107 (1989), no. 2, 395--408.

    Conference Proceedings and seminar Notes

  • Distortion and stabilized structure in Banach spaces; new geometric phenomena for Hilbert spaces (with E.Odell). Proceedings of the International Congeress of Mathematicians, Vol.1, 2(Zürich 1994), 955-965, Birkhäser, Basel, 1995.

  • Recientos resultados en la teoria de espacios de Banach (with J.Bernues). Publicaciones del Departamiento de Analisis de la Universidad Complutense, Madrid (1994), 1-24.

  • A complimentably minimal Banach space not containing c$_0$ or $\ell_p$. Seminar notes in Functional Analysis and Partial Differential Equations, Baton Rouge, Louisiana, (1992).

  • Maximal inequalities for stochastic processes which are given as sums of independent processes indexed by pseudo-metric parameter spaces. Publikationen in Wahrscheinlichkeitstheorie, Universität München, (1989). 84, 467-468.


    Ph.D. Thesis
    Limited sets in Banch spaces, München, (1988).


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