Isometries between groups of invertible elements in C*-algebras

• Autorzy: Osamu Hatori , Keiichi Watanabe
• Języki publikacji: EN

Abstrakty

EN

We describe all surjective isometries between open subgroups of the groups of invertible elements in unital C*-algebras. As a consequence the two C*-algebras are Jordan *-isomorphic if and only if the groups of invertible elements in those C*-algebras are isometric as metric spaces.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 46B04: Isometric theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 209
• Numer: 2
• Strony: 103-106

Daty

wydano

2012

Twórcy

autor

Osamu Hatori

• Department of Mathematics, Faculty of Science, Niigata University, 950-2181 Niigata, Japan

autor

Keiichi Watanabe

• Department of Mathematics, Faculty of Science, Niigata University, 950-2181 Niigata, Japan

Identyfikatory

DOI

10.4064/sm209-2-1