Victor

Victor Lomonosov

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Russian-American mathematician

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Victor Lomonosov
Mathematics
#6652
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#9172
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According to Wikipedia, Victor Lomonosov was a Russian-American mathematician known for his work in functional analysis. In operator theory, he is best known for his work in 1973 on the invariant subspace problem, which was described by Walter Rudin in his classical book on Functional Analysis as "Lomonosov's spectacular invariant subspace theorem". The Theorem Lomonosov gives a very short proof, using the Schauder fixed point theorem, that if the bounded linear operator T on a Banach space commutes with a non-zero compact operator then T has a non-trivial invariant subspace. Lomonosov has also published on the Bishop–Phelps theorem and Burnside's Theorem

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