ISOMETRIES AND HERMITIAN OPERATORS ON SPACES OF VECTOR-VALUED LIPSCHITZ MAPS

被引：0
|
作者：
Oi, Shiho [1 ]
机构：
[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan
来源：
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2023年
关键词：
surjective linear isometry; C*-algebra; hermitian operator; Lipschitz algebra; BANACH-ALGEBRAS;
D O I：
10.1017/S1474748023000415
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study hermitian operators and isometries on spaces of vector-valued Lipschitz maps with the sum norm. There are two main theorems in this paper. Firstly, we prove that every hermitian operator on Lip(X,E), where E is a complex Banach space, is a generalized composition operator. Secondly, we give a complete description of unital surjective complex linear isometries on Lip(X,A), where A is a unital factor C-& lowast;-algebra. These results improve previous results stated by the author.
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页数：18
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