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math.FA2001
Counterexample to the Trotter product formula for projections
Mate Matolcsi, Roman Shvidkoy
We constructed a unitary semigroup on a Hilbert space and an orthogonal projection such that the limit does…
math.FA2001
Hyperbolicity of semigroups and Fourier multipliers
Yuri Latushkin, Roman Shvidkoy
We present a characterization of hyperbolicity for strongly continuous semigroups on Banach spaces in terms of Fourier multiplier properties of the resolvent of the generator. Hype…