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First of all, the best wishes for 2024. Recently, I got aware of cosine operator families (in the framework of evolution equations). It is well-known, that operator semigroups can be rescaled (see for example Engel-Nagel). The question I have, if there is anything like this for cosine families. Is it possible to rescale cosine operator families, and if if how?

Best wishes to all of you.

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  • $\begingroup$ How do you mean rescaling? $\endgroup$
    – András Bátkai
    Commented Feb 11 at 15:57

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