Abstract
In this note, we study invariant subspaces of $L^2(\Bbb T^2)$ with respect to certain von Neumann algebras. We give a characterization of Beurling-type left-invariant subspaces of $L^2(\Bbb T^2)$. We also give a structure theorem of a non-trivial two-sided invariant subspace of $L^2(\Bbb T^2)$.
Citation
Atsushi HASEGAWA. "The invariant subspace structure of $L^2(\Bbb T^2)$ for certain von Neumann algebras." Hokkaido Math. J. 35 (3) 601 - 611, August 2006. https://doi.org/10.14492/hokmj/1285766419
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