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arXiv · 2008.00845

Modulus support functionals, Rajchman measures and peak functions

L. Golinskii·V. Kadets
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Abstract

In 2000 V. Lomonosov suggested a counterexample to the complex version of the Bishop-Phelps theorem on modulus support functionals. We discuss the $c_0$-analog of that example and demonstrate that the set of sup-attaining functionals is non-trivial, thus answering an open question, asked in \cite{KLMW}.

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L. Golinskii, V. Kadets. 2020-08-03. Modulus support functionals, Rajchman measures and peak functions. https://arxiv.org/abs/2008.00845

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