Invariant subspaces of $RL^1$

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In 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 pages

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Functional Analysis, 47A15 (Primary), 46E30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/72403

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409119
 http://arxiv.org/abs/math/0409119

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arXiv