Numerical peak points and numerical Ŝilov boundary for holomorphic functions

Sung Guen Kim

doi:10.1090/S0002-9939-08-09402-1

Numerical peak points and numerical Ŝilov boundary for holomorphic functions

Sung Guen Kim

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we characterize the numerical and numerical strongpeak points for A∞(BE : E) when E is the complex space l1 or C(K). We also prove that {(x, x*) εII(l1) : |x*(e_n)| = 1 for all n ε ℕ} is the numerical Ŝilov boundary for A∞(B11 : l1).

Original language	English
Pages (from-to)	4339-4347
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-08-09402-1
State	Published - Dec 2008

Keywords

Numerical peak points
Numerical Silov boundaries

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10.1090/S0002-9939-08-09402-1

Cite this

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abstract = "In this paper, we characterize the numerical and numerical strongpeak points for A∞(BE : E) when E is the complex space l1 or C(K). We also prove that {(x, x*) εII(l1) : |x*(en)| = 1 for all n ε ℕ} is the numerical Ŝilov boundary for A∞(B11 : l1).",

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AB - In this paper, we characterize the numerical and numerical strongpeak points for A∞(BE : E) when E is the complex space l1 or C(K). We also prove that {(x, x*) εII(l1) : |x*(en)| = 1 for all n ε ℕ} is the numerical Ŝilov boundary for A∞(B11 : l1).

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KW - Numerical Silov boundaries

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Numerical peak points and numerical Ŝilov boundary for holomorphic functions

Abstract

Keywords

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