Gaál, Marcell Gábor and Nagy, Gergő and Szokol, Patrícia Ágnes (2019) Isometries on positive definite operators with unit Fuglede-Kadison determinant. TAIWANESE JOURNAL OF MATHEMATICS, 23 (6). pp. 1423-1433. ISSN 1027-5487
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Official URL: http://doi.org/10.11650/tjm/190205
Abstract
In this paper we explore the structure of certain surjective generalized isometries (which are transformations that leave any given member of a large class of generalized distance measures invariant) of the set of positive invertible elements in a finite von Neumann factor with unit Fuglede-Kadison determinant. We conclude that any such map originates from either an algebra ∗-isomorphism or an algebra ∗-antiisomorphism of the underlying operator algebra.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 09 Mar 2020 11:26 |
| Last Modified: | 09 Mar 2020 11:26 |
| URI: | http://real.mtak.hu/id/eprint/107029 |
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