Karlovych, OleksiyShargorodsky, Eugene2026-03-202026-03-202026-01-071072-3374PURE: 151028224PURE UUID: 514289e4-06a0-42ab-9feb-1d28953ca18eScopus: 105026896240http://hdl.handle.net/10362/201681Publisher Copyright: © The Author(s) 2025.Let X(R) be a separable translation-invariant Banach function space and a be a Fourier multiplier on X(R). We prove that the Wiener-Hopf operator W(a) with symbol a is maximally noncompact on the space X(R+), that is, its Hausdorff measure of noncompactness, its essential norm, and its norm are all equal. This equality for the Hausdorff measure of noncompactness of W(a) is new even in the case of X(R)=Lp(R) with 1≤p<∞.10332110engEssential normHausdorff measure of noncompactnessRearrangement-invariant spaceTranslation-invariant spaceWiener-Hopf operatorStatistics and ProbabilityGeneral MathematicsApplied Mathematicsjournal article10.1007/s10958-025-08167-4https://www.scopus.com/pages/publications/105026896240