Pedro Tradacete

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About Me

I am a researcher in Mathematics at Instituto de Ciencias Matemáticas - CSIC.

Pedro Tradacete

I got my PhD from Universidad Complutense de Madrid in 2009. In 2010, I moved to Universidad de Barcelona as Juan de la Cierva Postdoc Researcher working at the Group of Real and Functional Analysis. After two years there, I came back to Madrid where I have been lecturing as Profesor Ayudante Doctor at Universidad Carlos III de Madrid until 2018, when I became Investigador Distinguido at ICMAT.

My Research interests
  • Functional Analysis: Banach spaces, Banach lattices.
  • Operator Theory: Positive operators, interpolation theory, invariant subspaces.
  • And their interaction with: Valuations in convex geometry, graph theory, metric spaces.

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Papers

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Citations

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Co-authors

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Cups of Coffee

Recent and forthcoming

Conferences or events I have been, will be or wish I could be.

Research papers

  • ALL
  • Banach spaces
  • Banach lattices
  • Positive operators
  • Strictly singular operators
  • Lp spaces
  • Rearrangement invariant spaces
  • Valuations
  • Interpolation/extrapolation
  • Graphs
  • Other
M. Mathieu, P. Tradacete: Strictly singular multiplication operators on L(X).
A. Avilés, P. Tradacete, I. Villanueva: The free Banach lattices generated by lp and c0.
E. A. Sánchez-Pérez, P. Tradacete: p-regularity and weights for operators between Lp spaces.
J. Soria, P. Tradacete: The least doubling constant of a metric measure space.
P. Tradacete: On the relation between Riesz and strictly singular positive operators.
J. Flores, F. L. Hernández, P. Tradacete: Strict singularity: a lattice approach. Positivity and Noncommutative Analysis, Trends Math., Birkäuser (to appear).
E. A. Sánchez-Pérez, P. Tradacete: (p,q)-regular operators between Banach lattices. Monatsh. Math. (to appear).
J. Soria, P. Tradacete: Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator. Journal d'Analyse Mathématique (to appear).
P. Tradacete, I. Villanueva: Valuations on Banach lattices. Int. Math. Res. Not. (to appear).
A. Avilés, J. Rodríguez, P. Tradacete: The free Banach lattice generated by a Banach space. J. Funct. Anal. 274 (2018), no. 10, 2955-2977.
Y. Raynaud, P. Tradacete: Calderón-Lozanovskii interpolation on quasi-Banach lattices. Banach J. Math. Anal. 12 (2018), no. 2, 294-313.
P. Tradacete, I. Villanueva: Continuity and representation of valuations on star bodies. Adv. Math. 329 (2018), 361-391.
F. L. Hernández, E. M. Semenov, P. Tradacete: Interpolation and extrapolation of strictly singular operators between Lp spaces. Adv. Math. 316 (2017), 667-690.
J. López-Abad, P. Tradacete: Shellable weakly compact subsets of C[0,1]. Math. Ann. 367 (2017), no. 3-4, 1777-1790.
T. Oikhberg, P. Tradacete: Almost band preservers. Positivity 21 (2017), no. 4, 1393-1423.
T. Oikhberg, P. Tradacete: Almost disjointness preservers. Canad. J. Math. 69 (2017), no. 3, 650-686.
P. Tradacete, I. Villanueva: Radial continuous valuations on star bodies. J. Math. Anal. Appl. 454 (2017), no. 2, 995-1018.(2018), no. 10, 2955-2977.
A. Avilés, A. J. Guirao, S. Lajara, J. Rodríguez, P. Tradacete: Weakly compactly generated Banach lattices. Studia Math. 234 (2016), 165-183.
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).
J. Flores, J. López-Abad, P. Tradacete: Banach lattice versions of strict singularity. J. Funct. Anal. 270 (2016), 2715-2731.
J. López-Abad, P. Tradacete: Bases of random unconditional convergence in Banach spaces. Trans. Amer. Math. Soc. 368 (2016), 9001-9032.
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.
J. Soria, P. Tradacete: Optimal rearrangement invariant range for Hardy type operators. Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 4, 865-893.
J. Soria, P. Tradacete: Characterization of the restricted type spaces R(X). Math. Inequal. Appl. 18 (2015), 295-319.
P. Tradacete: Positive Schur properties in spaces of regular operators. Positivity 19 (2015), no 2, 305-316.
F. L. Hernández, E. M. Semenov, P. Tradacete: Rearrangement invariant spaces with Kato property. Funct. Approx. Comment. Math. 50 (2014), no 2, 215-232.
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.
J. López-Abad, C. Ruiz, P. Tradacete: The convex hull of a Banach-Saks set. J. Funct. Anal. 266 (2014), 2251-2280.
E. A. Sánchez-Pérez, P. Tradacete: Positively norming sets in Banach function spaces. Q. J. Math. 65 (2014), 1049-1068.
M. J. Carro, P. Tradacete: Extrapolation on Lp,∞(μ). J. Funct. Anal. 265 (2013), 1840-1869.
P. Tradacete: Spectral properties of disjointly strictly singular operators, J. Math. Anal. Appl. 395 (2012), 376-384.
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.
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.
J. Flores, F. L. Hernández, P. Tradacete: Domination problems for strictly singular operators and other related classes, Positivity 15 (2011), 595-616.
P. Tradacete: c0-singular and l1-singular operators between vector-valued Banach lattices, Positivity 15 (2011), 241-251.
P. Tradacete: Subspace structure of Lorentz Lpq spaces and strictly singular operators, J. Math. Anal. Appl. 367 (2010), 98-107.
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.
F.L. Hernández, E. M. Semenov, P. Tradacete: Strictly singular operators on Lp spaces and interpolation, Proc. Amer. Math. Soc. 138 (2010), 675-686.
J. Flores, P. Tradacete, V.G. Troitsky: Disjointly homogeneous Banach lattices and compact products of operators, J. Math. Anal. Appl. 354 (2009), 657-663.
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.
J. Flores, P. Tradacete: Factorization and domination of positive Banach-Saks operators, Studia Math. 189 (2008), 91-101.
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.
J. Flores, F.L. Hernández, P. Tradacete: Powers of operators dominated by strictly singular operators, Q. J. Math. 59 (2008), 321-334.

VITA

  • Banach lattices in convex geometry. 2nd Brazilian Workshop in Geometry of Banach spaces, Ubatuba, Brazil. August 2018. slides
  • Free Banach lattices (minicourse at BIRS Oaxaca, Mexico, May 2018). Watch the videos! part 1 part 2 part 3
  • Retículos libres y un problema de Joe Diestel. XII EITA, Panticosa. October 2017.
  • Weak compactness in Banach lattices. Positivity IX, University of Alberta. July 2017. slides
  • Valuations on star sets and star bodies. RSME 2017, Functional Analysis session. Universidad de Zaragoza, February, 2017.
  • Weakly compact sets in C[0,1]. XII Encuentro de la red de Análisis Funcional y Aplicaciones. Universidad de Extremadura, March, 2016.
  • The Hardy-Littlewood maximal operator on graphs. III congreso de jóvenes investigadores RSME. Universidad de Murcia, September, 2015. slides
  • Optimal rearrangement invariant range for Hardy type operators. First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI. Bilbao, July 2014. slides
  • Disjointly homogenous Banach lattices: duality and complementation. Workshop on Functional Analysis Valencia 2013 on the occasion of the 60th birthday of Andreas Defant. Universidad de Valencia, June 2013. slides
  • Una aproximación probabilística a la incondicionalidad en espacios de Banach. IX Encuentro de la Red de Análisis Funcional y Aplicaciones. Zafra, April 2013.
  • The convex hull of a Banach-Saks set. Congreso de la RSME. Santiago de Compostela, January 2013. slides
  • Arithmetic means and convex sets in Banach spaces. Workshop of Young Researchers in Mathematics. Universidad Complutense, September 2012.
  • Extrapolación en L_{p,\infty}. Congreso de Jóvenes Investigadores RSME. Soria, September 2011.
  • Domination of operators between Banach lattices. VIII Functional Analysis meeting Murcia-Valencia. Alcoi, April 2011.
  • Domination properties of operators on Banach lattices. 1st Meeting of Spanish young researchers in Mathematics. Sevilla, September 2010
  • Workshop on Operators and Banach lattices II, Universidad Complutense de Madrid, November 2016. website
  • 1st Joint Meeting Brazil-Spain in Mathematics (special session: Banach spaces and set theory in interaction), Fortaleza, Brazil, December 2015.
  • RSME Conference 2015 (Functional Analysis special session), Universidad de Granada, February 2015.
  • 2nd RSME Young Researchers Conference (Functional Analysis special session), Universidad de Sevilla, September 2013.
  • Workshop on Operators and Banach lattices, Universidad Complutense de Madrid, October 2012. website
  • Jornadas RSME: The Millenium Problems, Universidad de Barcelona, June 2011. website
  • Positivity VI, El Escorial, July 2009.
  • P. Tradacete: El problema del subespacio invariante en espacios de Banach, La Gaceta de la RSME, 14, no. 3 (2011), 491-509.
  • P. Tradacete: Brook Taylor, músico, pintor, jurista y gran matemático, en El País (7/9/2017).
COURSES
  • Universidad Carlos III de Madrid:
    • Análisis Real y Complejo, Master in Mathematical Engineering (2014/15, 2015/16, 2016/17).
    • Matemática Discreta, Master in Mathematical Engineering (2017/18).
    • 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).
    • Curso 0 matemáticas: Polinomios y desigualdades algebraicas.
  • Universidad de Barcelona:
    • Introducción al Cálculo Diferencial (2010/2011)
    • Introducción al Cálculo Integral (2010/2011)
  • 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).
  • 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).
UNDERGRADUATE MASTER PHD
  • Alcides Nunda (Universidad Complutense de Madrid, 2017-)
  • Universidad de Buenos Aires (Argentina), August 2016.
  • Queen's University Belfast (UK), May 2016, February 2018.
  • Newcastle University (UK), June 2015.
  • University of Illinois at Urbana-Champaign (USA), May 2014.
  • Universidad Autónoma Nacional de México (Mexico), August-September 2013.
  • Adam Mickiewiecz University (Poland), June-July 2012.
  • Université Paris VI / CNRS (France), September-December 2007, August-December 2008, April 2016.
  • University of Alberta (Canada), December 2006.
  • University of Missouri-Columbia (USA), September-December 2006.
  • Premio Extraordinario de Doctorado (Best PhD Thesis in Mathematics). Universidad Complutense de Madrid, 2012.
  • Juan de la Cierva Research position. Ministerio de Ciencia e Innovación, 2009.

Research groups

I am a member of the following research groups in Mathematics

OPERATORS, LATTICES AND BANACH SPACES

Universidad Complutense de Madrid

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REAL AND FUNCTIONAL ANALYSIS RESEARCH GROUP

Universidad de Barcelona

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TOPOLOGY, ANALYSIS AND SETS

Universidad de Murcia

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Professional associations

I belong to the following associations and networks.

Contact Me

pedro.tradacete()icmat.es

Office 407

Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM)

Nicolás Cabrera, no. 13-15 Campus de Cantoblanco, UAM

28049 Madrid SPAIN