Duality for Spaces of Polynomials on Tree Spaces

Authors

Christopher Boyd, University College Dublin
Costas Poulios, National and Kapodistrian University of Athens
Milena Venkova, Technological University DublinFollow

Document Type

Article

Disciplines

Pure mathematics

Publication Details

Journal of Mathematical analysis and applications

Accepted version

Published online

https://www.sciencedirect.com/science/article/pii/S0022247X23000823

Abstract

In this paper we study the duality of certain spaces of polynomials on a class of tree spaces. In particular, we are interested in establishing isometric isomorphisms between the spaces of integral and nuclear polynomials and in determining when all polynomials are weakly continuous on bounded sets. This will provide us with new examples of what are known as Q-reflexive spaces.

DOI

https://doi.org/10.1016/j.jmaa.2023.127079

Recommended Citation

Christopher Boyd, Costas Poulios, Milena Venkova, Duality for spaces of polynomials on tree spaces, Journal of Mathematical Analysis and Applications, Volume 524, Issue 2, 2023, 127079, ISSN 0022-247X, DOI: 10.1016/j.jmaa.2023.127079.

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