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On Eigenvalues and Boundary Curvature of the Numerical Rang of Composition Operators on Hardy Space

On Eigenvalues and Boundary Curvature of the Numerical Rang of Composition Operators on Hardy Space
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摘要 For a bounded linear operator A on a Hilbert space H, let M(A) be the smallest possible constant in the inequality . Here, p is a point on the smooth portion of the boundary of the numerical range of A. is the radius of curvature of at this point and ?is the distance from p to the spectrum of A. In this paper, we compute the M(A) for composition operators on Hardy space H2. For a bounded linear operator A on a Hilbert space H, let M(A) be the smallest possible constant in the inequality . Here, p is a point on the smooth portion of the boundary of the numerical range of A. is the radius of curvature of at this point and ?is the distance from p to the spectrum of A. In this paper, we compute the M(A) for composition operators on Hardy space H2.
出处 《Advances in Pure Mathematics》 2015年第6期333-337,共5页 理论数学进展(英文)
关键词 Composition OPERATOR NUMERICAL Range EIGENVALUES CURVATURE Composition Operator Numerical Range Eigenvalues Curvature
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