Institutos Universitarios

Juan Benigno Seoane Sepúlveda

Catedrático de Universidad (Full Professor)
Department of Applied Mathematics and Mathematical Analysis
School of Mathematical Sciences
Complutense University of Madrid
Interactions of Functional Analysis with Algebra, Geometry and Topology





Ph.D. Universidad de Cádiz (Spain, 2005); Ph.D. Universität Karlsruhe (Germany, 2005); Ph.D. Kent State University (USA, 2006). Teaching and Research Assistant at Kent State University (Kent, Ohio, USA, 6 years). Recipient of a NSF - National Science Foundation fellow grant. Marie Curie Fellow (Karlsruhe, Germany). Pesquisador Visitante Especial grant (CNPq researcher) at the Universidade Federal da Paraíba UFPB (Brazil). Academic visitor and researcher at Institute Henri Poincaré (Paris, France), Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach, Germany), Trinity College Dublin (Dublin, Ireland), Abo Akademi University (Abo, Finland), National University of Ireland Galway (Galway, Ireland), Universidad de Valencia (Spain), Universidad Politécnica de Valencia (Spain), Universidad de Sevilla (Spain), Universidad de Granada (Spain), Charles University Prague (Czech Republic), Université de Liège (Belgium), Kent State University (USA), Universidade Estadual da Paraíba UFPB (Brazil), and Universität Karlsruhe (Karlsruhe, Germany).


Research interests

Editor of Banach Journal of Mathematical Analysis ( and Real Analysis Exchange (

Since 2005 I have achieved over 150 research publications on the following topics: Real and Complex Analysis, Operator Theory, Hypercyclicity, Chaotic Semigroups, Linear Dynamics, Differential Equations, Series and Summability, Bohr radius problem, Mathematical Inequalities, Geometry of Banach spaces, Lineability and Spaceability, Set Theory, Foundations of Mathematics, Mathematical Signal Processing, History of Mathematics, Anthropology and Genetics.


Last Publications

  • L. Bernal-González, A. Bonilla, J. López-Salazar, J.B. Seoane-Sepúlveda. Nowhere hölderian functions and Pringsheim singular functions in the disc algebra. Monatshefte fur Mathematik, 188 (2019), no. 4, 591–609. DOI link:
  • L. Bernal-González, H. J. Cabana-Méndez, G. A. Muñoz-FernándezJ. B. Seoane-Sepúlveda. Ordering among the topologies induced by various polynomial norms. Bull. Belg. Math. Soc. Simon Stevin 26 (2019), 481–492. 
  • L. Bernal-González, H. J. Cabana-Méndez, G. A. Muñoz-FernándezJ. B. Seoane-Sepúlveda. Universality of sequences of operators related to Taylor series. J. Math. Anal. Appl. 474 (2019), no. 1, 480–491.
  • L. Bernal-González, J. A. Conejero, M. Murillo-Arcila, , J. B. Seoane-Sepúlveda. [S]-linear and convex structures in function families. Linear Algebra and Its Applications, (2019) 579, pp. 463-483. Cited 2 times. DOI:

  • L. Bernal-González, P. Jiménez-Rodríguez, G. A. Muñoz-Fernández, J. B. Seoane-Sepúlveda. On inequalities for convex functions. J. Convex Anal.  26  (2019),  no. 2, 437--448
  • K. C. Ciesielski, M. E. Martínez-Gómez, J. B. Seoane-Sepúlveda. "Big" Continuous Restrictions of Arbitrary Functions(2019) American Mathematical Monthly, 126 (6), pp. 547-552. Cited 1 time. DOI:

  • K. C. Ciesielsk, D. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. Algebras of measurable extendable functions of maximal cardinality. Linear Algebra Appl. 565 (2019), 258–266.
  • K. C. Ciesielski, J. B. Seoane-Sepúlveda. A century of Sierpiński-Zygmund functions (2019). Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 113 (4), pp. 3863-3901. DOI:

  • K. C. Ciesielski, J. B. Seoane-Sepúlveda. Differentiability versus continuity: restriction and extension theorems and monstrous examples. Bull. Amer. Math. Soc. (N.S.)  56  (2019),  no. 2, 211--260.
  • J. A. Conejero, C. Lizama, M. Murillo-Arcila, J. B. Seoane-Sepúlveda. Well-posedness for degenerate third order equations with delay and applications to inverse problems. Israel J. Math. 229 (2019), no. 1, 219–254.
  • J. A. Conejero, A. Mundayadan, J. B. Seoane-Sepúlveda. Dynamics of multidimensional Cesáro operators. Bull. Belg. Math. Soc. Simon Stevin  26  (2019),  no. 1, 11--20
  • M. Fenoy, P. Ibarrola, J. B. Seoane-Sepúlveda. Generalized p value for multivariate Gaussian stochastic processes in continuous time. Statist. Papers  60  (2019),  no. 6, 2013--2030.
  • J. Ferrer, D. García, M. Maestre, J. B. Seoane-Sepúlveda. On the zero-set of 2-homogeneous polynomials in Banach spaces (2019). Linear and Multilinear Algebra, 67 (10), pp. 1958-1970. Cited 1 time. DOI:
  • P. Jiménez-Rodríguez, G. A. Muñoz-Fernández, E. Sáez-Maestro, J. B. Seoane-Sepúlveda,  “The convolution of two differentiable functions on the circle need not be differentiable”,  Rev Mat Complut 32, Issue 1 (2019),  pp 187-193.
  • P. Jiménez-Rodríguez, G. A. Muñoz-Fernández, E. Sáez-Maestro, J. B. Seoane-Sepúlveda. Algebraic genericity and the differentiability of the convolution. J. Approx. Theory 241 (2019), 86–106. 
  • L. Bernal-González, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. Algebraic genericity within the class of sup-measurable functions. J. Math. Anal. Appl. 483 (2020), no. 1, 123576. 
  • A. Bonilla, G. A. Muñoz-Fernández, J. A. Prado-Bassas, J. B. Seoane-Sepúlveda. Hausdorff and Box dimensions of continuous functions and lineability. Linear and Multilinear Algebra. Published online: 06 May 2019
  • P. Jiménez-Rodríguez, M. E. Martínez-Gómez, G. A. Muñoz-Fernández, J. B. Seoane-Sepúlveda. Describing Multiplicative Convex Functions. Journal of Convex Analysis
  • L. Bernal-González, H. J. Cabana-Méndez, G. A. Muñoz-Fernández, J. B. Seoane-Sepúlveda. On the dimension of subspaces of continuous functions attaining their maximum finitely many times. Trans. Amer. Math. Soc 
  • G. Araujo, P. H. Enflo, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepulveda. Quantitative and qualitative estimates on the norm of products of polynomials. Israel Journal of Mathematics. 2020, 236 (2), 727-745. DOI:

Contact details


G. A. Muñoz Fernández and J. B. Seoane. Fundamentos y problemas resueltos de Teoría cualitativa de ecuaciones diferenciales. Editorial Paraninfo, 2017.
ISBN: 978-84-283-4057-1
R. M. Aron, L. Bernal-Gonzalez, D. M. Pellegrino, J. B. Seoane SepulvedaThe Search for Linearity in Mathematics. Editorial Lineability, 2016.
ISBN-13: 978-1138894433  ISBN-10: 1138894435