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

• Autorzy: Dijana Ilišević , Chih-Neng Liu , Ngai-Ching Wong
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

Projection; JB*-triple; Hilbert C*-module

Kategorie tematyczne

• 47A65: Structure theory
• 47A62: Equations involving linear operators, with operator unknowns
• 17C65: Jordan structures on Banach spaces and algebras

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 109-120

Daty

wydano

2017-10-26

otrzymano

2016-12-30

zaakceptowano

2017-02-20

online

2017-10-18

Twórcy

autor

Dijana Ilišević

• ,

autor

Chih-Neng Liu

• 80424,

autor

Ngai-Ching Wong

• 80424,

Identyfikatory

DOI

10.1515/conop-2017-0008