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

DOI: 10.4236/apm.2015.56032, PP. 333-337

Keywords: Composition Operator, Numerical Range, Eigenvalues, Curvature

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Abstract:

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,

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