Analyticity of positive semigroups is inherited under domination
نویسندگان
چکیده
For positive C 0 C_0 -semigroups S"> S encoding="application/x-tex">S and T"> T encoding="application/x-tex">T on a Banach lattice such that S left-parenthesis t right-parenthesis less-than-or-equal-to upper T right-parenthesis"> ( t stretchy="false">) ≤ encoding="application/x-tex">S(t) \le T(t) for all times alttext="t"> encoding="application/x-tex">t , we prove analyticity of implies . This answers an open problem posed by Arendt in 2004. Our proof is based spectral theoretic argument: apply theory operators to multiplication are induced vector-valued function space.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2023
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/16492