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

Author:

Ilišević Dijana1,Liu Chih-Neng2,Wong Ngai-Ching2

Affiliation:

1. 1Department of Mathematics, Faculty of Science, University of Zagreb, Zagreb, Croatia

2. 2Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan

Abstract

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).

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

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