Maps preserving the spectrum of certain products of operators

2013/09/16 by Ali Taghavi, Taghavi, Ali, Roja Hosseinzadeh +1
Mathematics · #46J10 #47B48 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:46J10 #msc:47B48

paper · pdf · doi:10.48550/arxiv.1309.4032

11 pages

arxiv created 2013/09/16 · openalex publication_date 2013/09/16 · arxiv updated 2013/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let H be a complex Hilbert space, B(H) and S(H) be the spaces of all bounded operators and all self-adjoint operators on H, respectively. We give the concrete forms of the maps on B(H) and also S(H) which preserve the spectrum of certain products of operators.

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