Isometries between C-algebras with finite corank
arXiv:2607.13367
summary
The paper characterizes linear isometries of finite corank between arbitrary unital C*-algebras via Jordan *-homomorphisms and finite‑dimensional remainder terms, and also treats linear order embeddings on self‑adjoint parts, providing new examples for matrix algebras.
Abstract
We give a characterization of linear isometries with finite corank between two arbitrary unital C-algebras in terms of Jordan -homomorphisms and ``finite-dimensional remainders''. Also, the corresponding results are given for linear isometries and linear order embeddings between self-adjoint parts of C-algebras. In the finite-dimensional case, we give new examples of linear isometries between matrix algebras.
32 pages
Topics & keywords
#linear isometries#c*-algebras#jordan *-homomorphisms#finite corank#order embeddings#matrix algebrasisometryc*-algebrajordan *-homomorphismfinite corankself-adjoint partlinear order embedding