Positive Definite Functions and Dual Pairs of Locally Convex Spaces

Authors

Daniel Alpay, Chapman UniversityFollow
Saak Gabriyelyan, Ben Gurion University of the Negev

Document Type

Article

Publication Date

2018

Abstract

Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operator-valued positive definite functions.

Comments

This article was originally published in Opuscula Mathematica, volume 38, issue 4, in 2018. DOI: 10.7494/OpMath.2018.38.4.463

Recommended Citation

Daniel Alpay, Saak Gabriyelyan, Positive definite functions and dual pairs of locally convex spaces, Opuscula Math. 38, no. 4 (2018), 463-482, https://doi.org/10.7494/OpMath.2018.38.4.463

Peer Reviewed

1

Copyright

Wydawnictwa AGH, Krakow 2018

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial 3.0 License