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<p>We prove new monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations of bounded sets of positive kernel operators on <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>. To our knowledge, several proved properties are new even in the finite dimensional case.</p>

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Monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月30日

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  • Katarina Bogdanović,
  • Aljoša Peperko

摘要

We prove new monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations of bounded sets of positive kernel operators on \(L^2\) L 2 . To our knowledge, several proved properties are new even in the finite dimensional case.