Some multiplicative preservers on BH)

1999/09/09 by Lajos Molnár, Molnar, Lajos
Mathematics · #47B49 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.math/9909048

openalex publication_date 1999/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we describe the form of those continuous multiplicative maps on B(H) (H being a separable complex Hilbert space of dimension not less than 3) which preserve the rank, or the corank. Furthermore, we characterize those continuous *-semigroup endomorphisms of B(H) which are spectrum non-increasing.

Citations

• When are multiplicative mappings additive?

Related

• *-semigroup endomorphisms of B(H)
• Some linear preserver problems on B(H) concerning rank and corank
• Endomorphisms of Stable Continuous-Trace C^*-algebras
• Rank Preserving Maps on CSL Algebras
• Continuous spectrum-shrinking maps and applications to preserver problems