Generalized n-circular projections on JB*-triples and Hilbert C0(Ω)-modules

Dijana Ilišević; Chih-Neng Liu; Ngai-Ching Wong

Concrete Operators (2017)

  • Volume: 4, Issue: 1, page 109-120
  • ISSN: 2299-3282

Abstract

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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).

How to cite

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Dijana Ilišević, Chih-Neng Liu, and Ngai-Ching Wong. "Generalized n-circular projections on JB*-triples and Hilbert C0(Ω)-modules." Concrete Operators 4.1 (2017): 109-120. <http://eudml.org/doc/288314>.

@article{DijanaIlišević2017,
abstract = {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).},
author = {Dijana Ilišević, Chih-Neng Liu, Ngai-Ching Wong},
journal = {Concrete Operators},
keywords = {Projection; JB*-triple; Hilbert C*-module},
language = {eng},
number = {1},
pages = {109-120},
title = {Generalized n-circular projections on JB*-triples and Hilbert C0(Ω)-modules},
url = {http://eudml.org/doc/288314},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Dijana Ilišević
AU - Chih-Neng Liu
AU - Ngai-Ching Wong
TI - Generalized n-circular projections on JB*-triples and Hilbert C0(Ω)-modules
JO - Concrete Operators
PY - 2017
VL - 4
IS - 1
SP - 109
EP - 120
AB - 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).
LA - eng
KW - Projection; JB*-triple; Hilbert C*-module
UR - http://eudml.org/doc/288314
ER -

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