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Numerical peak points and numerical Šilov boundary for holomorphic functions
Authors:Sung Guen Kim
Institution:Department of Mathematics, Kyungpook National University, Daegu 702-701, South Korea
Abstract:In this paper, we characterize the numerical and numerical strong-peak points for $ {\mathcal A}_{\infty}(B_{E}:E)$ when $ E$ is the complex space $ l_1$ or $ C(K)$. We also prove that $ \{(x, x^*)\in \Pi(l_1):\vert x^*(e_n)\vert=1~$for all$ ~n\in \mathbb{N} \}$ is the numerical Šilov boundary for $ {\mathcal A}_{\infty}(B_{l_1}:l_1).$

Keywords:Numerical peak points  numerical Silov boundaries
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