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Geometría de Espacios de Banach; sistemas de coordenadas

Existen varias nociones de sistemas de coordenadas en un espacio de Banach. La más común quizas es la de base de Schauder

  • C. Brech; J. Lopez-Abad; S. Todorcevic. Homogeneous families on trees and subsymmetric basic sequences. 2018. Advances in Mathematics. Academic Press inc Elsevier Science. 334, pp.322-388. ISSN 0001-8708.
  • J. Lopez-Abad; P. Tradacete. 2017. Shellable weakly compact subsets of C[0,1]. Mathematische Annalen. Springer. 367-3-4, pp.1777-1790.
  • Flores, J.; Lopez-Abad, J.; Tradacete, P.2016. Banach lattice versions of strict singularity. Journal of Functional Analysis. 270-7, pp.2715-2731.
  • J. Lopez-Abad; P. Tradacete. 2016. Bases of random of unconditional convergence. Transactions of the American Mathematical Society. AMS. 368, pp.9001-9032.
  • Families of finite subsets of N Zb. Rad. (Beogr.). Matematički institut SANU. 17-25, pp.145-169.
  • Lopez-Abad, J.; Ruiz, C.; Tradacete, P. 2014. The convex hull of a Banach-Saks set Journal of Functional Analysis. 266-4, pp.2251-2280.
  • Lopez-Abad, J. 2013. A Bourgain-Pisier construction for general Banach spaces Journal of Functional Analysis. 265-7, pp.1423-1441.
  • Lopez-Abad, J. 2013. Large cardinals and basic sequences Annals of Pure and Applied Logic. 164-12, pp.1390-1417.
  • Lopez-Abad, J. y Todorcevic, S. 2013. Positional graphs and conditional structure of weakly null sequences Advances in Mathematics. 242, pp.163-186.
  • Dodos, P.; Lopez-Abad, J.; Todorcevic, S.2012. Partition ideals below N-omega Fundamenta Mathematicae. 217-1, pp.21-34.
  • Lopez-Abad, J. 2012. Some problems concerning basic sequences in Banach spaces Extracta Mathematicae. Departamento de Matemáticas de la Universidad de Extremadura. 26-2, pp.295-316.
  • Lopez-Abad, J.; Todorcevic, S. 2011. Generic Banach spaces and generic simplexes Journal of Functional Analysis. 261-2, pp.300-386.
  • Dodos, P.; Lopez-Abad, J.; Todorcevic, S. 2011. Unconditional basic sequences in spaces of large density Advances in Mathematics. 226-4, pp.3297-3308.
  • Dodos, P.; Lopez-Abad, J.; Todorcevic, S. 2010. Banach spaces and Ramsey Theory: some open problems Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie a-Matematicas. 104-2, pp.435-450.
  • Lopez-Abad, J.; Manoussakis, A. 2008. A classification of Tsirelson type spaces Canadian Journal of Mathematics-Journal Canadien De Mathematiques. 60-5, pp.1108-1148.
  • Dodos, P.; Lopez-Abad, J. 2008. On unconditionally saturated Banach spaces Studia Mathematica. 188-2, pp.175-191.
  • Lopez-Abad, J. 2005. Coding into Ramsey sets Mathematische Annalen. 332-4, pp.775-794.
  • Bagaria, J; Lopez-Abad, J. 2002. Determinacy and weakly Ramsey sets in Banach spaces Transactions of the American Mathematical Society. 354-4, pp.1327-1349.
  • Bagaria, J; Lopez-Abad, J. 2001. Weakly Ramsey sets in Banach spaces Advances in Mathematics. 160-2, pp.133-174.

Operadores en Espacios de Banach; espacios con pocos operadores

  • Lopez-Abad, J.; Todorcevic, S. 2009. A c_0-saturated Banach space with no long unconditional basic sequences Transactions of the American Mathematical Society. 361-9, pp.4541-4560.
  • Argyros, SA; Lopez-Abad, J; Todorcevic, S. 2005. A class of Banach spaces with few non-strictly singular operators Journal of Functional Analysis. 222-2, pp.306-384.
  • Argyros, S. A.; Lopez-Abad, J.; Todorcevic, S. 2003. A class of Banach spaces with no unconditional basic sequence Comptes Rendus Mathematique. 337-1, pp.43-48.

Teoría de Ramsey aplicada; dinámica topológica

  • Bartosova D.; Lopez-Abad, J.; Lupini, M.; Mbombo B. The Ramsey properties for Grassmannians over R, C. PREPRINT 2019. pp. 25.
  • Bartosova D.; Lopez-Abad, J.; Lupini, M.; Mbombo B. The Ramsey Property For Banach Spaces and Choquet Simplices. PREPRINT 2018. pp. 25.
  • Bartosova D.; Lopez-Abad, J.; Lupini, M.; Mbombo B. The Ramsey property for Banach spaces and Choquet simplices, and applications. Comptes Rendus Mathematique. 355 - 12, pp. 1242 - 1246. Elsevier, 01/12/2017. Disponible en Internet en: https://doi.org/10.1016/j.crma.2017.11.001.
  • Bartosova D.; Lopez-Abad, J.; Lupini, M.; Mbombo B. The Ramsey Property For Banach Spaces, Choquet Simplices, And Their Noncommutative Analogs. PREPRINT 2017. pp. 41. Disponible en Internet en: https://arxiv.org/abs/1708.01317.
  • Lopez-Abad, J.; Todorcevic, S. 2009. Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces Topology and Its Applications. 156-7, pp.1396-1411.
  • Lopez-Abad, J.; Van The, L. Nguyen. 2008. The oscillation stability problem for the Urysohn sphere: A combinatorial approach Topology and Its Applications. 155-14, pp.1516-1530.
  • Lopez-Abad, J. 2007. Canonical equivalence relations on nets of PSc0 Discrete Mathematics. 307-23, pp.2943-2978.
  • Lopez-Abad, J.; Todorcevic, S. 2006. Partial unconditionality of weakly null sequences RACSAM. Springer. 100, pp.237-277.
  • Lopez-Abad. J. 2002. Canonical equivalence relations of FIN_k Tagunugsbericht Oberwolfach. 354, pp.1327-1349.

Libros

  • Lopez-Abad, J.; Di Prisco, C. A. 2008. Teoría de Ramsey y espacios de Banach Ediciones IVIC. 156, pp.1396-1411. ISBN 978-980-261-101-0.