Invariant subspaces of $RL^1$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72403In this note we extend D. Singh and A. A. W. Mehanna's invariant subspace theorem for $RH^1$ (the real Banach space of analytic functions in $H^1$ with real Taylor coefficients) to the simply invariant subspaces of $RL^1$ (the real Banach space of functions in $L^1$ with real Fourier coefficients).4 pagesFunctional Analysis47A15 (Primary), 46E30 (Secondary)Invariant subspaces of $RL^1$text