Continuous Jordan triple endomorphisms of P2

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:438

Article

Molnar, Lajos^1,2  Virosztek, Daniel^2,3 

[1] Univ Szeged, Bolyai Inst, Dept Anal, Aradi Vertanuk Tere 1, H-6720 Szeged, Hungary

[2] Univ Debrecen, Inst Math, MTA DE Lendulet Funct Anal Res Grp, POB 12, H-4010 Debrecen, Hungary

[3] Budapest Univ Technol & Econ, Inst Math, Dept Anal, H-1521 Budapest, Hungary

关键词: Positive definite matrices;    Jordan triple endomorphisms;    Hilbert space effects;    Sequential endomorphisms;   

DOI  :  10.1016/j.jmaa.2016.02.028

来源: Elsevier

【 摘 要 】

We describe the structure of all continuous Jordan triple endomorphisms of the set P-2 of all positive definite 2 x 2 matrices thus completing a recent result of ours. We also mention an application concerning sorts of surjective generalized isometries on P-2 and, as second application, we complete another former result of ours on the structure of sequential endomorphisms of finite dimensional effect algebras. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free