Jordan maps and triple maps on algebras of unbounded operators

2005/05/03 by Werner Timmermann, Timmermann, Werner
Computer Science · Mathematics · #46K05 #47L60 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Operator Algebras (math.OA) #math.OA #msc:46K05 #msc:47L60

paper · pdf · doi:10.48550/arxiv.math/0505047

arxiv created 2005/05/03 · openalex publication_date 2005/05/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper contains results on the structure of Jordan maps and several kinds of triple maps on standard algebras of unbounded operators in Hilbert spaces. These results are unbounded counterparts to results on algebras of bounded operators obtained by Lu, Molnár and others ([3,4,6 -- 10]).

Citations

• Additive mappings in algebras of unbounded operators preserving operators of rank one
• When are multiplicative mappings additive?

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