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Invariant subspaces of bilateral shift on L2(S1)
International Journal of Statistics and Applied Mathematics · 2020 · Vol. 5(4) · pp. 186–190
Abstract
In this Paper, we have proved that all the invariant subspaces of the bilateral shift on L2(S1) is of the form φHb2 where φ is a function in L∞ which is equals to 1 almost everywhere.
Holomorphic and Operator TheorySpectral Theory in Mathematical Physicsadvanced mathematical theoriesLinear subspaceInvariant (physics)MathematicsReflexive operator algebraAlmost everywhereCombinatoricsPure mathematicsComputer scienceMathematical physics
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