Invariant subspaces of $RL^1$

Details Invariant subspaces of $RL^1$ Invariant subspaces of $RL^1$

2004-09-08

arxiv.org/abs/math/0409119v1

Mathematics

Functional Analysis

4 pages

Scientific paper

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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