Being expected as a Banach space substitute of the orthogonal projections on Hilbert spaces, generalized n-circular projections also extend the notion of generalized bicontractive projections on JB*-triples. In this paper, we study some geometric properties of JB*-triples related to them. In particular, we provide some structure theorems of generalized n-circular projections on an often mentioned special case of JB*-triples, i.e., Hilbert C*-modules over abelian C*-algebras C0(Ω).
@article{bwmeta1.element.doi-10_1515_conop-2017-0008,
author = {Dijana Ili\v sevi\'c and Chih-Neng Liu and Ngai-Ching Wong},
title = {Generalized n-circular projections on JB*-triples and Hilbert C0($\Omega$)-modules},
journal = {Concrete Operators},
volume = {4},
year = {2017},
pages = {109-120},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_conop-2017-0008}
}
Dijana Ilišević; Chih-Neng Liu; Ngai-Ching Wong. Generalized n-circular projections on JB*-triples and Hilbert C0(Ω)-modules. Concrete Operators, Tome 4 (2017) pp. 109-120. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_conop-2017-0008/