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arXiv:1703.04601 [math.FA]AbstractReferencesReviewsResources

Invariant subspaces of $\mathcal{H}^2(\mathbb{T}^2)$ and $L^2(\mathbb{T}^2)$ preserving compatibility

Zbigniew Burdak, Marek Kosiek, Patryk Pagacz, Marek Słociński

Published 2017-03-14Version 1

Operators of multiplication by independent variables on the space of square summable functions over the torus and its Hardy subspace are considered. Invariant subspaces where the operators are compatible are described.

Comments: 17 pages, 3 figures
Categories: math.FA
Subjects: 47A15, 47B37
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