Pedro Tradacete Print
Written by ptradace   
Tuesday, 17 January 2012 12:49

Profesor Visitante Lector

Universidad Carlos III de Madrid
Mathematics
Department

Office: 2.2A03 (Edificio Sabatini)
Phone: +34 916249099

Avenida de la Universidad, 30
28911, Leganés, Madrid.

E-Mail: email address: 
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 Pedro

 

 Recent and forthcoming:

 

 


  Departmental responsibilities: Coordinator of the Department Colloquia.  

  Responsibilities at ICMAT: Member of Severo Ochoa Executive Committee.

  Responsibilities within the Real Sociedad Matemática Española: Secretary of the Scientific Committee and Member of the Committee for International Relations.

  Responsibilities within the European Mathematical Society: Corresponding member for RSME.

  Editorial board of:

 

 Research interests

My research interests are Functional Analysis and Operator Theory, and more precisely:

  • Geometry of Banach spaces
  • Banach lattices (function spaces, rearrangement invariant spaces)
  • Positive operators (invariant subspaces, spectral properties, domination)
  • Interpolation and extrapolation theory
  • Valuations in convex geometry
  • Interactions with other areas (graph theory, analysis in metric spaces, approximation in groups...)

 

  Publications

  PREPRINTS:

  • A. Avilés, P. Tradacete, I. Villanueva: The free Banach lattices generated by lp and c0. [PDF]
  • E. A. Sánchez-Pérez, P. Tradacete: (p,q)-regular operators between Banach lattices. [PDF]
  • E. A. Sánchez-Pérez, P. Tradacete: p-regularity and weights for operators between Lp spaces. [PDF]
  • J. Soria, P. Tradacete: The least doubling constant of a metric measure space. [PDF]

  PAPERS:

In press

  • J. Soria, P. Tradacete: Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator. Journal d'Analyse Mathématique (to appear). [PDF]
  • P. Tradacete, I. Villanueva: Valuations on Banach lattices. Int. Math. Res. Not. (to appear). [PDF]

2018

  • A. Avilés, J. Rodríguez, P. Tradacete: The free Banach lattice generated by a Banach space. J. Funct. Anal.  274 (2018), no. 10, 2955-2977. [PDF]
  • Y. Raynaud, P. Tradacete: Calderón-Lozanovskii interpolation on quasi-Banach lattices.  Banach J. Math. Anal. 12 (2018), no. 2, 294-313. [PDF]
  • P. Tradacete, I. Villanueva: Continuity and representation of valuations on star bodies. Adv. Math. 329 (2018), 361-391. [PDF]
2017
  • F. L. Hernández, E. M. Semenov, P. Tradacete: Interpolation and extrapolation of strictly singular operators between Lp spaces. Adv. Math. 316 (2017), 667-690. [PDF]
  • J. López-Abad, P. Tradacete: Shellable weakly compact subsets of C[0,1]. Math. Ann. 367 (2017), no. 3-4, 1777-1790. [PDF]
  • T. Oikhberg, P. Tradacete: Almost band preservers. Positivity 21 (2017), no. 4, 1393-1423. [PDF]
  • T. Oikhberg, P. Tradacete: Almost disjointness preservers. Canad. J. Math.  69 (2017), no. 3, 650-686. [PDF]
  • P. Tradacete, I. Villanueva: Radial continuous valuations on star bodies and star sets. J. Math. Anal. Appl.  454 (2017), no. 2, 995-1018. [PDF]

2016

  • A. Avilés, A. J. Guirao, S. Lajara, J. Rodríguez, P. Tradacete: Weakly compactly generated Banach lattices. Studia Math. 234 (2016), 165-183. [PDF]
  • J. Flores, F. L. Hernández, P. Tradacete: Disjointly homogeneous Banach lattices and applications. Ordered Structures and Applications: Positivity VII. Springer, Trends in Mathematics, 179-201 (2016). [PDF]
  • J. Flores, J. López-Abad, P. Tradacete: Banach lattice versions of strict singularity. J. Funct. Anal. 270 (2016), 2715-2731. [PDF]
  • J. López-Abad, P. Tradacete: Bases of random unconditional convergence in Banach spaces. Trans. Amer. Math. Soc. 368 (2016), 9001-9032. [PDF]
  • E. A. Sánchez-Pérez, P. Tradacete: Bartle-Dunford-Schwartz integration for positive vector measures and representation of quasi-Banach lattices. J. Nonlinear Convex Anal. 17 (2016), no 2, 387-402.
  • E. M. Semenov, P. Tradacete, F. L. Hernández: Strictly singular operators on pairs of Lp spaces. Dokl. Math. 94 (2016), 450-452.
  • J. Soria, P. Tradacete: Best constants for the Hardy-Littlewood maximal operator on finite graphs. J. Math. Anal. Appl. 436 (2016), 661-682. [PDF]
  • J. Soria, P. Tradacete: Rearrangement invariant optimal range for Hardy type operators. Proc. Roy. Soc. Edinburgh Sect. A  146 (2016), no. 4, 865-893. [PDF]

2015

  •  J. Soria, P. Tradacete: Characterization of the restricted type spaces R(X). Math. Inequal. Appl. 18 (2015), 295-319. [PDF]
  • P. Tradacete: Positive Schur properties in spaces of regular operators. Positivity 19 (2015), no 2, 305-316. [PDF]

2014

  • F. L. Hernández, E. M. Semenov, P. Tradacete: Rearrangement invariant spaces with Kato property. Funct. Approx. Comment. Math. 50 (2014), no 2, 215-232. [PDF]
  • J. Flores, F. L. Hernández, E. Spinu, P. Tradacete, V. G. Troitsky: Disjointly homogeneous Banach lattices: duality and complementation. J. Funct. Anal. 266 (2014), 5858-5885. [PDF]
  • J. López-Abad, C. Ruiz, P. Tradacete: The convex hull of a Banach-Saks set. J. Funct. Anal. 266 (2014), 2251-2280. [PDF]
  • E. A. Sánchez-Pérez, P. Tradacete: Positively norming sets in Banach function spaces. Q. J. Math. 65 (2014), 1049-1068. [PDF]

 2013

  • M. J. Carro, P. Tradacete: Extrapolation on L^{p,\infty}. J. Funct. Anal. 265 (2013), 1840-1869. [PDF]

2012

  • P. Tradacete: Spectral properties of disjointly strictly singular operators, J. Math. Anal. Appl. 395 (2012), 376-384. [PDF]
  • C. Palazuelos, E. A. Sánchez-Pérez, P. Tradacete: Maurey-Rosenthal factorization for p-summing operators and Dodds-Fremlin domination, J. Operator Theory 68 (2012), 205-222. [PDF]
  • J. Flores, F.L. Hernández, E.M. Semenov, P. Tradacete: Strictly singular and power-compact operators on Banach lattices, Israel J. Math 188 (2012), 323-352. [PDF]

2011

  • J. Flores, F. L. Hernández, P. Tradacete: Domination problems for strictly singular operators and other related classes, Positivity 15 (2011), 595-616. [PDF]
  • P. Tradacete: El problema del subespacio invariante en espacios de Banach, La Gaceta de la RSME, 14, no. 3 (2011), 491-509. 
  • P. Tradacete: c0-singular and l1-singular operators between vector-valued Banach lattices, Positivity 15 (2011), 241-251. [PDF]

2010

  • P. Tradacete: Subspace structure of Lorentz Lpq spaces and strictly singular operators, J. Math. Anal. Appl. 367 (2010), 98-107. [PDF]
  • Y. Raynaud, P. Tradacete: Interpolation of Banach lattices and factorization of p-convex and q-concave operators, Integral Equations Operator Theory 66 (2010), 79-112. [PDF]
  • F.L. Hernández, E. M. Semenov, P. Tradacete: Strictly singular operators on Lp spaces and interpolation, Proc. Amer. Math. Soc. 138 (2010), 675-686. [PDF]

2009

  • J. Flores, P. Tradacete, V.G. Troitsky: Disjointly homogeneous Banach lattices and compact products of operators, J. Math. Anal. Appl. 354 (2009), 657-663. [PDF]
  • J. Flores, F.L. Hernández, N.J. Kalton, P. Tradacete: Characterizations of strictly singular operators on Banach lattices, J. London Math. Soc. 79 (2009), 612-630. [PDF]

2008

  • J. Flores, P. Tradacete: Factorization and domination of positive Banach-Saks operators, Studia Math. 189 (2008), 91-101. [PDF]
  • J. Flores, P. Tradacete, V.G. Troitsky: Invariant subspaces of positive strictly singular operators on Banach lattices, J. Math. Anal. Appl. 343 (2008), 743-751. [PDF]
  • J. Flores, F.L. Hernández, P. Tradacete: Powers of operators dominated by strictly singular operators, Q. J. Math. 59 (2008), 321-334. [PDF]

  OTHER PUBLICATIONS:

  • P. Tradacete: Brook Taylor, músico, pintor, jurista y gran matemático, en El País (7/9/2017).
  • P. Tradacete: Factorization and domination properties of operators on Banach lattices, PhD Thesis, (2009) Universidad Complutense de Madrid. E-prints UCM
  • P. Tradacete: Some properties of strictly singular operators on Banach lattices, Actas del Colloquium del Departamento de Análisis Matemático (UCM). [PDF]

 

  Teaching:

COURSES

Universidad Carlos III de Madrid:

  • Análisis Real y Complejo, Master in Mathematical Engineering (2014/15, 2015/16, 2016/17).
  • Curso 0 matemáticas: Polinomios y desigualdades algebraicas. YouTube
  • Calculus II (Mechanical Engineering et al., 2011/12, 2012/13, 2013/14, 2014/15, 2015/16).
  • Calculus I (Mechanical Engineering et al., 2015/16, 2016/17, 2017/18).
  • Matemática Discreta, Master in Mathematical Engineering (2017/18).

Universidad de Barcelona:

Universidad Complutense de Madrid:

  • Análisis Complejo (2006/2007)
  • Análisis de Variable Real (2007/2008)
PUBLICATIONS
  • Problemas resueltos de estructuras algebraicas: Grupos, Anillos y Cuerpos (2010), Ed. Bubok Publishing.
  • Inverting the roles in tutoring: a collaborative learning experience in first course of mathematics, Edulearn11 proceedings, Barcelona (2011). [PDF]
  • Estrategias para comunicar el interés de conceptos matemáticos para estudiantes de ingeniería, Actas del III Simposio i-Test Divulgación de la Ciencia y las Matemáticas, Aranjuez (2012). [PDF]
  • E-evaluación y e-learning: el tiempo de respuesta como herramienta de evaluación, RELADA Vol. 6, no. 4 (2012). [PDF]

 

  Links:

2nd Workshop Operators and Banach lattices, 17-18 November 2016 (Universidad Complutense de Madrid).

Workshop: Operators and Banach lattices, 25-26 October 2012 (Universidad Complutense de Madrid). 

Ya soy doctor...¿y ahora qué?

Grupo de Análisis Real y Funcional, UB - GARF

Operators, lattices and structure of Banach spaces - Grupo UCM

Real Sociedad Matemática Española - RSME

European Mathematical Society - EMS

Functional Analysis Network - NFAAS

 

Last Updated on Thursday, 14 June 2018 10:35