A weighted composition semigroup related to three open problems
نویسندگان
چکیده
The semi-group of weighted composition operators (Wn)n≥1 whereWnf(z)=(1+z+…+zn−1)f(zn) on the classical Hardy-Hilbert space H2 open unit disk is related to Riemann Hypothesis (RH) (see [16]). semigroup also closely Invariant Subspace Problem (ISP) and Periodic Dilation Completeness (PDCP). We obtain results cyclic vectors, spectra, invariant reducing subspaces. In particular, we show that several basic questions are equivalent RH provide generalizations Báez-Duarte criterion for [5]).
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2023
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2023.127261