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- W2028857593 abstract "Let ∥·∥ be a matrix norm and Σ be a bounded set of n × n complex matrices. For each m = 1, 2, …, let ρˆm(Σ,‖·‖)=sup{‖A‖:A∈Σm}, where Σm = {A1A2⋯Am: Ai ∈ Σ}. Bell proved that there is a gap in the possible growth of ρˆm(Σ,‖·‖) if Σ consists of finitely many n × n complex matrices. In this note, based on a lemma by Elsner, we give an elementary proof of Bell’s theorem in bounded case." @default.
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- W2028857593 date "2006-12-01" @default.
- W2028857593 modified "2023-09-23" @default.
- W2028857593 title "A note on a gap result for norms of semigroups of matrices" @default.
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- W2028857593 doi "https://doi.org/10.1016/j.laa.2006.05.005" @default.
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