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Session 4. Banach Spaces and Operator Theory with Applications
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Entropy moduli and eigenvalues of operators |
Radosław Szwedek, Adam Mickiewicz University in Poznań, Poland
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The talk is based on the joint work with Mieczysław Mastyło
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In this talk, we will discuss some recent results concerning modern
topics in the theory of operators on Banach spaces. We introduce and
study entropy and spectral moduli of operators and show
relationships between these moduli and eigenvalues of operators. In
particular, some of the obtained formulas may be regarded as
a generalization of the classical spectral radius formula.
Combining our results with interpolation techniques yields an
interpolation variant of the famous Carl-Triebel inequality.
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