Nonlinear maps preserving Lie products on triangular algebras

• Autorzy: Weiyan Yu
• Języki publikacji: EN

Abstrakty

EN

In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre. As an application, we described the form of bijections preserving Lie products on nest algebras and block upper triangular matrix algebras.

Słowa kluczowe

EN

Preserver; Lie product; Triangular algebra; Nest algebra

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2016
• Tom: 4
• Numer: 1
• Strony: 56-66

Daty

wydano

2016-01-01

otrzymano

2015-09-06

zaakceptowano

2015-11-10

online

2015-12-16

Twórcy

autor

Weiyan Yu

• College of Mathematics and Statistics, Hainan Normal University, Haikou 571158, PR. China

Bibliografia

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Identyfikatory

DOI

10.1515/spma-2016-0006