1Department of Mathematics Faculty of Science Niigata University Niigata 950-2181, Japan 2Department of Analysis Bolyai Institute University of Szeged Aradi vértanúk tere 1 H-6720 Szeged, Hungary and MTA-DE “Lendület” Functional Analysis Research Group Institute of Mathematics University of Debrecen P.O. Box 400 H-4002 Debrecen, Hungary
Studia Mathematica, Tome 236 (2017) no. 2, pp. 101-126
We study non-linear transformations between the unitary groups of von Neumann algebras and the twisted subgroups of positive invertible elements in unital $C^*$-algebras with various preserver properties concerning the spectrum, spectral radius, and generalized distance measures. We present several results which show that those transformations are closely related to Jordan $^*$-isomorphisms between the underlying full algebras. In fact, our results can easily be used to characterize such isomorphisms.
Keywords:
study non linear transformations between unitary groups von neumann algebras twisted subgroups positive invertible elements unital * algebras various preserver properties concerning spectrum spectral radius generalized distance measures present several results which those transformations closely related jordan * isomorphisms between underlying full algebras results easily characterize isomorphisms
Affiliations des auteurs :
Osamu Hatori
1
;
Lajos Molnár
2
1
Department of Mathematics Faculty of Science Niigata University Niigata 950-2181, Japan
2
Department of Analysis Bolyai Institute University of Szeged Aradi vértanúk tere 1 H-6720 Szeged, Hungary and MTA-DE “Lendület” Functional Analysis Research Group Institute of Mathematics University of Debrecen P.O. Box 400 H-4002 Debrecen, Hungary
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Osamu Hatori; Lajos Molnár. Spectral conditions for Jordan *-isomorphisms on operator algebras. Studia Mathematica, Tome 236 (2017) no. 2, pp. 101-126. doi: 10.4064/sm8393-8-2016
