47 citations · 244 across the 61 of their papers we have counts for
Showing 1997 · funct-anShow all
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funct-an1997
Abelian topological groups without irreducible Banach representations
Vladimir Pestov
We exhibit abelian topological groups admitting no nontrivial strongly continuous irreducible representations in Banach spaces. Among them are some abelian Banach-Lie groups and so…
funct-an1997
Some universal constructions in abstract topological dynamics
Vladimir Pestov
This small survey of basic universal constructions related to the actions of topological groups on compacta is centred around a new result --- an intrinsic description of extremely…
funct-an1997★ 1 cited
Two 1935 questions of Mazur about polynomials in Banach spaces: a counter-example
Vladimir Pestov
We construct a continuous scalar-valued 2-polynomial, , on the separable Hilbert space and an unbounded set such that (i) is bounded on an -neighbour…