Conjugations in L² and their invariants

2019/12/31 by Câmara, M. Cristina, Kliś--Garlicka, Kamila, Łanucha, Bartosz +1
#FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1912.13265

Abstract

Conjugations in space L² of the unit circle commuting with multiplication by z or intertwining multiplications by z and z are characterized. We also study their behaviour with respect to the Hardy space, subspaces invariant for the unilateral shift and model spaces.

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