Complex symmetry of linear fractional composition operators on a half-plane

Published 19 Apr 2022 in math.FA | (2204.09146v3)

Abstract: We investigate the bounded composition operators induced by linear fractional self-maps of the right half-plane $\mathbb{C}+$ on the Hardy space $H^2(\mathbb{C}+).$ We completely characterize which of these operators are cohyponormal and we find conjugations for the linear fractional composition operators that are complex symmetric.

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