Isometries of Hilbert C*-modules
classification
🧮 math.OA
math.FA
keywords
isometryeveryhilbertmodulemodulesactionsalgebrascompletely
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.