@inbook{517dfa85ca9c421eb41b69eb09f7e155,
title = "On the Algebras of Wiener-Hopf Operators with Continuous Symbols Acting on Some Banach Function Spaces",
abstract = "Let X(ℝ+) be one of the following three Banach function spaces: a Lorentz space Lp,q(ℝ+) with 1<p,q<∞; a reflexive Orlicz space LΦ(ℝ+); or a variable Lebesgue space Lp(⋅)(ℝ) with variable exponent p(⋅)∈ℬM(ℝ). We show that the Banach algebra alg W(CX({\.ℝ})), generated by the Wiener-Hopf operators with continuous symbols acting on X(ℝ+), contains the ideal of compact operators K(X(ℝ+)).",
author = "Oleksiy Karlovych and M{\'a}rcio Valente",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024. Acknowledgments This work is funded by national funds through the FCT - Funda\u00E7\u00E3o para a Ciencia e a Tecnologia, I.P., under the scope of the projects UIDB/00297/2020 and UIDP/00297/2020 (Center for Mathematics and Applications). The second author is funded by national funds through the FCT - Funda\u00E7\u00E3o para a Ceincia e a Tecnologia, I.P., under the scope of the PhD scholarship 2022.12247.BD.",
year = "2024",
month = jul,
doi = "10.1007/978-3-031-59397-0_9",
language = "English",
isbn = "978-3-031-59396-3",
series = "Operator Theory: Advances and Applications",
publisher = "Springer",
pages = "123--144",
editor = "Rogosin, {Sergei }",
booktitle = "Analysis without Borders",
address = "Netherlands",
}