N´ucleos definidos positivos, relaci´on dual y aplicaciones

Authors

  • Arnaldo De La Barrera Correa Department of Mathematics, University of Pamplona, Address P.O.Box 543057, Pamplona, Colombia
  • Elgar Gualdron Department of Mathematics, University of Pamplona, Address P.O.Box 543057, Pamplona, Colombia
  • Osmin Ferrer Departament of Mathematics, University of Sucre, Address P.O.Box 700001, Sincelejo, Colombia

DOI:

https://doi.org/10.24054/bistua.v20i2.1419

Keywords:

Positive definite kernels, biorthogonal systems, Kolgomorov decomposition, biequivalent kernels, dual relation

Abstract

The aim of this paper is to study some positive definite kernels for operator values in Hilbert spaces. We prove the existence of a kernel K2 associated with any pair of equivalent kernels K1 and K. The pair (K1, K2) is called biequivalent kernels. Mareover, we show that K2 and K are equivalent and satisfy a dual relation similar to Riesz bases, biorthogonal sequences, and dual frames in Hilbert spaces. As a consequence, we obtain new results for stochastic processes.

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Additional Files

Published

2022-10-04 — Updated on 2022-10-27

How to Cite

De La Barrera Correa, A., Gualdron, E., & Ferrer, O. (2022). N´ucleos definidos positivos, relaci´on dual y aplicaciones. BISTUA REVISTA DE LA FACULTAD DE CIENCIAS BASICAS, 20(2), 35–42. https://doi.org/10.24054/bistua.v20i2.1419

Issue

Vol. 20 No. 2 (2022)

Section

Paper

License

Copyright (c) 2022 © Autores; Licencia Universidad de Pamplona.

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© Autores; Licencia Universidad de Pamplona