@misc{10481/107427,
year = {2025},
month = {10},
url = {https://hdl.handle.net/10481/107427},
abstract = {We introduce, investigate and compare several order type relations on the set of tripotents in a
JB∗
-triple. The main two relations we address are ≤h and ≤n. We write u ≤h e (or u ≤n e) if
u is a self-adjoint (or normal) element of the Peirce-2 subspace associated to e considered as a
unital JB∗
-algebra with unit e. It turns out that these relations need not be transitive, so we
consider their transitive hulls as well. Properties of these transitive hulls appear to be closely
connected with types of von Neumann algebras, with the results on products of symmetries, with
determinants in finite-dimensional Cartan factors, with finiteness and other structural properties
of JBW∗
-triples.},
organization = {OPVVV CAAS (CZ.02.1.01/0.0/0.0/16_019/0000778)},
organization = {MICIU/AEI/10.13039/501100011033 – ERDF “A way of making Europe” (PID2021-122126NB-C31)},
organization = {IMAG – María de Maeztu Program (CEX2020-001105-M / AEI/10.13039/501100011033)},
organization = {Junta de Andalucía (FQM375)},
publisher = {Institute of Mathematics, Polish Academy of Sciences},
title = {Order type relations on the set of tripotents in a JB*-triple},
doi = {10.4064/dm231004-6-5},
author = {Hamhalter, Jan and Kalenda, Ondrej F. K. and Peralta Pereira, Antonio Miguel},
}