Work

Power Bounded Operators on Hilbert Space and Helson Set

Year: 2025

Type: article

Abstract: Let T be a power bounded operator on a Hilbert space H and assume that local unitary spectrum of T at x ∈ H is contained in a Helson set.If lim |m-n|→∞ |⟨T m x, T n x⟩| = 0, then lim n→∞ ∥T n x∥ = 0.

Source: Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan

DOI: 10.30546/2409-4994.2025.51.1.1013

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410849497

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