Modulus support functionals, Rajchman measures and peak functions
| Autor: | Vladimir Kadets, L. Golinskii |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Mathematics::Functional Analysis Algebra and Number Theory Applied Mathematics Modulus Operator theory Functional Analysis (math.FA) Set (abstract data type) Mathematics - Functional Analysis Computational Mathematics Mathematics - Classical Analysis and ODEs Primary 46B20 Secondary 30D40 30H05 Classical Analysis and ODEs (math.CA) FOS: Mathematics Geometry and Topology Analysis Mathematics Counterexample |
| DOI: | 10.48550/arxiv.2008.00845 |
| Popis: | 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}. Comment: 11 pages in LaTeX |
| Databáze: | OpenAIRE |
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