Abstract
We introduce Duhamel algebras and study their properties and applications. We prove that a Banach space of analytic functions on the unit disc that satisfy certain conditions is a Duhamel algebra and describe its closed ideals. These results substantially generalize and improve the main results of Wigley’s papers. Some other related questions are also discussed.
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 52, No. 1, pp. 3–12, 2018
Original Russian Text Copyright © by M. T. Karaev
This work was financially supported by the Deanship of Scientific Research, King Saud University, in the framework of the Research Group Project no. RGP-VPP-323.
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Karaev, M.T. Duhamel Algebras and Applications. Funct Anal Its Appl 52, 1–8 (2018). https://doi.org/10.1007/s10688-018-0201-z
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DOI: https://doi.org/10.1007/s10688-018-0201-z