Operator Means in Jb-Algebras
Abstract
In this paper, the notion of operator means in the setting of JB-algebras is introduced and their properties are studied. Many identities and inequalities are established, most of them have origins from operators on Hilbert space but they have different forms and connotations, and their proofs require techniques in JB-algebras.
- Publication:
-
Reports on Mathematical Physics
- Pub Date:
- December 2021
- DOI:
- 10.1016/S0034-4877(21)00087-2
- arXiv:
- arXiv:2012.13127
- Bibcode:
- 2021RpMP...88..383W
- Keywords:
-
- operator means;
- JB-algebras;
- operator inequalities;
- nonassociative perspective function;
- Mathematics - Functional Analysis;
- Mathematical Physics;
- 47A63;
- 47A64;
- 46H70;
- 47A60(Primary);
- 17C65;
- 81R15;
- 81P45;
- 94C99(Secondary)
- E-Print:
- 14