Duality for spaces of polynomials on tree spaces

被引：0
|
作者：
Boyd, Christopher [1 ]
Poulios, Costas [2 ]
Venkova, Milena [3 ]
机构：
[1] Univ Coll Dublin, Dept Math & Stat, Dublin, Ireland
[2] Natl & Kapodistrian Univ Athens, Fac Econ & Polit Sci, Dept Econ, Athens, Greece
[3] Technol Univ Dublin, Sch Math Sci, Dublin, Ireland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 524卷 / 02期
关键词：
Tree space; Homogeneous polynomial; Weak continuity; REFLEXIVE BANACH-SPACE; THEOREM; NUCLEAR; L1;
D O I：
10.1016/j.jmaa.2023.127079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.(c) 2023 Elsevier Inc. All rights reserved.
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页数：16
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