منابع مشابه
On Centered and Weakly Centered Operators
and to be power bounded (notation: T ∈ (PW)) if (1) holds for every polynomial of the special form p(ζ) = ζ where n is a positive integer. If T ∈ (PB) [resp., T ∈ (PW)], then there is a smallest number M ≥ 1 which satisfies (1) [resp., (1) restricted]. This number will be called the polynomial bound [resp., the power bound] of T and will be denoted by Mpb(T ) [resp., Mpw(T )]. (If T / ∈ (PB) [r...
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Two linguistic-based voting systems have been introduced in recent years, namely: Majority Judgement (Balinski and Laraki, 2007) and Range Voting (Smith, 2000). The keys for them are aggregation procedures based on the median and the arithmetic mean of the grades assessed to the alternatives, respectively. In this paper a comprehensive framework based on centered OWA operators (Yager, 2007) and...
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In this paper we show that every power bounded operator weighted shift with commuting normal weights is similar to a contraction. As an application of this result, we reduce the problem whether every centered power bounded operator is similar to a contraction to the analogous question about quasi-invertible centered operators.
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We prove that a composition operator is bounded on the Hardy space H of the right half-plane if and only if the inducing map fixes the point at infinity non-tangentially, and has a finite angular derivative λ there. In this case the norm, essential norm, and spectral radius of the operator are all equal to √ λ.
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We use induction and interpolation techniques to prove that a composition operator induced by a map φ is bounded on the weighted Bergman space Aα(H) of the right half-plane if and only if φ fixes ∞ non-tangentially, and has a finite angular derivative λ there. We further prove that in this case the norm, essential norm, and spectral radius of the operator are all equal, and given by λ.
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2018
ISSN: 1846-3886
DOI: 10.7153/oam-2018-12-40