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Jorge López

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ICMAT Member

Data

Institution: Consejo Superior de Investigaciones Científicas

Position:    

  • Ramón y Cajal.
  • Maître de Conférences Université Paris 7 (détachement).

Office: 301        Phone: 761

E-mail: abad()icmat.es

Research Interest

 

  • Ramsey Theory:
    • Structural Ramsey Theory.
    • Applications.
  • Geometry of Banach spaces:
    • Unconditional basic sequences.
    • Few operators.
    • Separable Quotient Problem.
    • Generic Banach spaces. 
  • Combinatorial Set Theory and its applications

 

Publications
  •  J. Bagaria & J. Lopez-Abad, Weakly Ramsey sets in Banach spaces, Advances in  Mathematics 160 (2001), no. 2, 133-174.
  •  J. Bagaria & J. Lopez-Abad, Determinacy and weakly Ramsey sets in Banach spaces.  Transactions of the American  Mathematical Society 354 (2002), no. 4, 1327-1349.
  •  J. Lopez Abad,  Canonical equivalence relations on FINk. Tagungsberich Oberwolfach. (2002).
  •  S. A. Argyros, J. Lopez-Abad & S. Todorcevic,   A class of Banach spaces with no  unconditional basic sequence. C. R. Acad. Sci. Paris, Ser. I  337 (2003) 43-48.
  • S. A. Argyros, J. Lopez-Abad & S. Todorcevic, A class of Banach spaces with few non strictly singular operators.  Journal of Functional Analysis 222 (2005),  no. 2   306-384.
  •  J. Lopez-Abad, Coding into Ramsey sets.  Mathematische Annalen 332 (2005), no. 4 775-794.
  •  J. Lopez-Abad & S. Todorcevic, Partial unconditionality of weakly null sequences. RACSAM. Special issue on geometry of Banach spaces,  100 (2006)  237-277.
  •  J. Lopez-Abad, Canonical equivalence relations on nets of PSc0. Discrete  Mathematics 307 (2007), no. 23 , 2943-2978.
  •   J. Lopez-Abad &  L. Nguyen Van Thé, The oscillation stability problem for the Urysohn sphere: A combinatorial approach.  Topology and its Applications 155 (2008), no 14, 1516-1530.
  •  P. Dodos & J. Lopez-Abad,  On unconditionally saturated Banach spaces. Studia Mathematica 188 (2008), no 2, 175-191.
  •  J. Lopez-Abad & A. Manoussakis, A classification of Tsirelson type spaces.  Canadian Journal of Mathematics,  60 (2008), No.5, pp. 1108-1148.
  •  J. Lopez-Abad y S. Todorcevic, Pre-compact families of finite sets  of integers and weakly null sequences in Banach spaces.  Topology and it Applications, 156 (2009),  pp. 1396-1411.
  •  J. Lopez-Abad y S. Todorcevic, A c0-saturated Banach space with no long unconditional basic sequences.  Transactions of the American Society  361 (2009) 4541-4560.
  •  C. A. Di Prisco & J. Lopez-Abad, Teoría de Ramsey y Espacios de Banach.

XXI Escuela Venezolana De Matemáticas. Ediciones IVIC. ISBN 978-980-261-101-0 Caracas. 2008.

  •  P. Dodos, J. Lopez-Abad & S. Todorcevic,  Banach spaces and Ramsey Theory: some open problems. RACSAM 104 (2), 2010, 435–450.
  •  P. Dodos, J. Lopez-Abad & S. Todorcevic, Unconditional basic sequences in spaces of high density. Advances in Mathematics 226, (2011), pp. 3297-3308
  •  J. Lopez-Abad y S. Todorcevic,  Generic Banach spaces and generic simplexes. Journal of Functional Analysis 261 (2), (2011), 300--386.

Preprints

  •  P. Dodos, J. Lopez-Abad y S. Todorcevic, Partition ideals belows $\aleph_\omega$, Preprint, 2011.
  •  J. Lopez-Abad y S. Todorcevic, Positional graphs and conditional structure of weakly null sequences, Preprint, 2011.
  •  J. Lopez-Abad, Some problems concerning basic sequences in Banach spaces, Preprint 2011. 
  •  J. Lopez-Abad & S. Todorcevic, Examples of non-separable L_\infty spaces, Preprint 2012.
  •  J. Lopez-Abad, A Bourgain-Pisier construction for non-separable spaces, Preprint 2012.