Embedded Files
List of publications
Constructive approximation of convergent sequences by eigenvalue sequences of radial Toeplitz–Fock operators. Submitted to Boletín de la Sociedad Matemática Mexicana, 2025.
Radial Toeplitz forms on the weighted Bergman space over the unit disk. Journal of Mathematical Sciences. 2025
Approximately invertible elements in non-unital normed algebras. Journal of Mathematical Analysis and Applications, Vol. 523 1 (2023).
Continuous frames in Krein spaces. Banach J. Math. Anal. 16, 20 (2022)
Separately Radial Fock-Carleson Type Measures for Derivatives of Order k. In: Bauer W., Duduchava R., Grudsky S., Kaashoek M. (eds) Operator Algebras, Toeplitz Operators and Related Topics. Operator Theory: Advances and Applications, vol 279. Birkhäuser, Cham. (2020)
On hyponormal operators in Krein spaces, Archivum Mathematicum Vol. 55 4 (2019), 249--259.
L-Invariant Fock--Carleson Type Measures for Derivatives of Order k and the Corresponding Toeplitz Operators, Journal of Mathematical Sciences Vol. 242 2 (2019), 337--358.
Positive definite biequivalent kernels, duality and applications, International Journal of Mathematical Analysis Vol. 11 19 (2017), 901--910.
C*-algebra generated by horizontal Toeplitz operators on the Fock space, Boletín de la Sociedad Matemática Mexicana Vol. 22 2 (2016), 567--582.
Radial Toeplitz operators on the Fock space and square--root--slowly oscillating sequences, Complex Analysis and Operator Theory Vol. 10 7 (2016), 1655--1677.
Construction and coupling of frames in Hilbert spaces with W-metrics, Revista Integración Temas de Matemáticas, Vol. 34 1 (2016), 81--93.
Dual and similar frames in Krein spaces, International Journal of Mathematical Analysis Vol. 10 19 ( 2016), 939--952.
C*-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half--plane, Integral Equations and Operator Theory vol. 83 3, 413--428.
Frames of subspaces in Hilbert spaces with W--metrics, Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica vol XXIII 2, 5--22.
Frames in Krein spaces arising from a non-regular W--metric, Banach Journal of Mathematical Analysis vol 9 1, 1--16.
C*-algebra of angular Toeplitz operators on Bergman spaces over the upper half--plane, Commununications in Mathematical Analysis vol 17 2, 151--162.
M.Sc. Students
2025
Rol: Advisor
Co-advisor: Dr. Boris Lora Castro
Title:: Frames en espacios de Hilbert con kernel reproductor
Student: Jesús Castro.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
----------------------------------
2021
Advisor
Co-advisor: Dr. Boris Lora Castro
Title: Teoremas de Gelfand-Naimark: Caracterización de Krein C*-álgebras con identidad.
Student: Jair Herazo.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
----------------------------------
2020
Advisor
Co-advisor: Dr. Boris Lora Castro
Title: Frames in Krein C*-modules.
Student: Danilo Polo Ojito.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
------------------------------------------------------------------
2019.
Advisor.
Co-advisor: Dr. Boris Lora Castro.
Title: C*-algebras and Krein C*-modules of bounded operators.
Student: John Flórez Pacheco.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
-----------------------------------------------------------------------
2018
Advisor.
Co-Advisor: Dr. Boris Lora Castro
Title: *-algebras induced by non-degenerate indefinite inner product.
Student: Eduin Rodriguez.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
-----------------------------------------------------------------
2017
Advisor.
Co-Advisor: Dr. Boris Lora Castro
Title: Wold-Kolmogórov decomposition and unitary Extensions of fundamentally reducible and isometric operators in Krein spaces.
Student: Juan Carlos De avila Tapia.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
----------------------------------------------------------------
Co-Advisor.
Advisor: Dr. Boris Lora Castro
Title: Hyponormal operators in Krein spaces.
Student: Jorge Jalk.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
Posts held
March 2019-
Full Professor
Department of Mathematics
Universidad de Caldas
Manizales, Colombia.
-------------------------------------------------------------------------------------------------
February--December 2018
Associate Professor
Escuela de Matemáticas y Estadística
Universidad Pedagógica y Tecnológica de Colombia
Tunja, Colombia.
--------------------------------------------------------------------------------------------------
February 2016--December 2017
Associate Professor
Department of Mathematics
Universidad de Sucre
Sincelejo, Colombia.
-----------------------------------------------------------------------------------------------
2009
Lecturer
Departamento de Matemáticas y Estadística
Universidad del Norte
Barranquilla, Colombia.
International Workshop
2023
XIX Encuentro Internacional de Matemáticas (EIMAT), Barranquilla, Colombia.
------------------------------------------------------------------------
2022
XV Congress 2022 GAFEVOL-Evolution equations and functional analysis group, Manizales, Colombia.
International Workshop on Operator Theory on Function Spaces, Xalapa Veracruz, México.
-------------------------------------------------------------------------
2021
XVII Encuentro Internacional de Matemáticas (EIMAT), Barranquilla, Colombia.
-------------------------------------------------------------------------
2018
International Workshop "Operator Algebras, Toeplitz Operators, and Related Topics", Veracruz, México.
-------------------------------------------------------------------------
2016
Coloquio de profesores del Departamento de Matemáticas CINVESTAV, México D.F., México.
Poster en el V Latin American Congress of Mathematicians (CLAM), Barranquilla, Colombia.
------------------------------------------------------------------------
2015
International workshop `` Wiener-Hopf method, Toeplitz operators, and their applications'', Boca del Río, México.
------------------------------------------------------------------------
2014
International Workshop "Analysis, Operator Theory, and Mathematical Physics", Ixtapa, México.
Seminario Estructuras de Toeplitz en Análisis, Veracruz, México.
X Encuentro Internacional de Matemáticas (EIMAT), Barranquilla, Colombia.
---------------------------------------------------------------------
2013
IX Encuentro Internacional de Matemáticas (EIMAT), Barranquilla, Colombia.
Taller Internacional Análisis Norte-Sur, Cuernavaca Morelos, México.
-----------------------------------------------------------------
2011
VII Encuentro de Matemáticas del Caribe Colombiano de Carácter Internacional, Barranquilla, Colombia.
--------------------------------------------------------------
2010
XLIII Congreso Nacional de la Sociedad Matemática Mexicana, Tuxtla Gutierrez, México.
------------------------------------------------------------
2008
V Encuentro de Matemáticas del Caribe Colombiano de Carácter Internacional, Barranquilla, Colombia.
National Events
2023
XXIII Congreso Colombiano de Matemáticas, Sociedad Colombiana de Matemáticas, Universidad Pedagógica y Tecnológica de Colombia, Tunja, Boyacá, Colombia.
2019
XXII Congreso Colombiano de Matemáticas, Sociedad Colombiana de Matemáticas, Universidad del Cauca, Colombia.
----------------------------------------------------------------------------------------
2016
VI Encuentro Nacional de Matemáticas y Estadística, Universidad del Tolima, Colombia.}
Google Sites
Report abuse