Unitary asymptotes and quasianalycity

Asymptotically cyclic quasianalytic contractions

“…Introduction. In this paper we continue the study of quasianalytic contractions initiated and carried out in [Kér01], [Kér11] and [Kér13]. These investigations are motivated by the Invariant Subspace Problem (ISP) and the Hyperinvariant Subspace Problem (HSP), since in the setting of asymptotically non-vanishing contractions these problems can be reduced to special classes of quasianalytic contractions.…”

“…•j (i, j = 0, 1). For further properties of unitary asymptotes we refer to [Kér13] and [NFBK, Chapter IX]. Our basic reference for the theory of contractions is [NFBK].…”