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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 275–279
DOI: https://doi.org/10.4213/tm4175 (Mi tm4175) 		 
Spectral Order for Jordan Triples

Ekaterina A. Turilovaa, Jan Hamhalterb

a Kazan Federal University, Kremlevskaya ul. 18, Kazan, 420008 Russia
b Czech Technical University in Prague, Faculty of Electrical Engineering, Technická 2, 166 27 Prague 6, Czech Republic
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DOI: https://doi.org/10.4213/tm4175
Abstract: We initiate the study of the spectral order on Jordan triples. The order given on the tripotents is extended to the spectral order on the triples. We show that Jordan triples equipped with the spectral order are not lattices but preserve the Olson “momentum” characteristic.
Funding agency Grant number
Ministry of Education, Youth and Sports of the Czech Republic CZ.02.1.01/0.0/0.0/16_019/00007
The work of J. Hamhalter was supported by the Centre of Advanced Applied Sciences, grant no. CZ.02.1.01/0.0/0.0/16_019/00007.
Received: September 14, 2020
Revised: October 6, 2020
Accepted: February 16, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 258–262
DOI: https://doi.org/10.1134/S0081543821020231
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Ekaterina A. Turilova, Jan Hamhalter, “Spectral Order for Jordan Triples”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 275–279; Proc. Steklov Inst. Math., 313 (2021), 258–262
Citation in format AMSBIB
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\vol 313
\pages 275--279
\publ Steklov Math. Inst.
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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