Invariant subspaces of $RL^1$

Daniel Jupiter; David Redett

Invariant subspaces of $RL^1$

Functional Analysis 2007-05-23 v1

Authors: Daniel Jupiter , David Redett

Abstract

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).

Keywords

invariant subspace theory banach spaces

Cite

@article{arxiv.math/0409119,
  title  = {Invariant subspaces of $RL^1$},
  author = {Daniel Jupiter and David Redett},
  journal= {arXiv preprint arXiv:math/0409119},
  year   = {2007}
}

Comments

4 pages

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