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.

引用

页数：18

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