Isometries of Hilbert C*-modules

Baruch Solel

Isometries of Hilbert C*-modules

Operator Algebras 2007-05-23 v1 Functional Analysis

Authors: Baruch Solel

Abstract

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.

Keywords

hilbert modules c*-algebras mapping theory

Cite

@article{arxiv.math/0104188,
  title  = {Isometries of Hilbert C*-modules},
  author = {Baruch Solel},
  journal= {arXiv preprint arXiv:math/0104188},
  year   = {2007}
}

Comments

41 pages, Latex, To appear in the Transactions of AMS

Related papers

View all related →