Isometries of Hilbert C*-modules
算子代数
2007-05-23 v1 泛函分析
摘要
It is shown that every linear surjective isometry between two right, full, Hilbert C*-modules is a sum of two maps : a (bi-) module map (which is completely isometric and preserves the inner product) and a map that reverses the (bi-) module actions. Every such isometry can be extended to an isometry of the C* linking algebras.
引用
@article{arxiv.math/0104188,
title = {Isometries of Hilbert C*-modules},
author = {Baruch Solel},
journal= {arXiv preprint arXiv:math/0104188},
year = {2007}
}
备注
41 pages, Latex, To appear in the Transactions of AMS