Carathéodory-Fejér Interpolation in Locally Convex Topological Vector Spaces

Authors

Daniel Alpay, Chapman UniversityFollow
Olga Timoshenko, Ben Gurion University of the Negev
Dan Volok, Kansas State University

Document Type

Article

Publication Date

2009

Abstract

We study Carathéodory–Herglotz functions whose values are continuous operators from a locally convex topological vector space which admits the factorization property into its conjugate dual space. We show how this case can be reduced to the case of functions whose values are bounded operators from a Hilbert space into itself.

Comments

This article was originally published in Linear Algebra and its Applications, volume 431, in 2009. DOI: 10.1016/j.laa.2009.04.023

Recommended Citation

D. Alpay, O. Timoshenko and D. Volok. Carathéodory-Fejér interpolation in locally convex topological vector spaces. Linear Algebra and its Applications, vol. 431 (2009) pp. 1257-1266.

Peer Reviewed

1

Copyright

Elsevier