Duality for spaces of polynomials on tree spaces

Christopher Boyd; Costas Poulios; Milena Venkova

doi:10.1016/j.jmaa.2023.127079

Duality for spaces of polynomials on tree spaces

Christopher Boyd, Costas Poulios, Milena Venkova

Technological University Dublin

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	127079
Journal	Journal of Mathematical Analysis and Applications
Volume	524
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2023.127079
Publication status	Published - 15 Aug 2023

Keywords

Homogeneous polynomial
Tree space
Weak continuity

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KW - Weak continuity

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Duality for spaces of polynomials on tree spaces

Abstract

Keywords

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