Invariant subspaces of $RL^1$

Daniel Jupiter; David Redett

arxiv: math/0409119 · v1 · submitted 2004-09-08 · 🧮 math.FA

Invariant subspaces of RL¹

Daniel Jupiter , David Redett This is my paper

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keywords realinvariantbanachcoefficientsfunctionsspacesubspacesanalytic

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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).

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Invariant subspaces of RL¹

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