# Completely bounded maps and invariant subspaces

@article{Alaghmandan2017CompletelyBM,
title={Completely bounded maps and invariant subspaces},
author={Mahmood Alaghmandan and Ivan G. Todorov and Lyudmila Turowska},
journal={Mathematische Zeitschrift},
year={2017},
volume={294},
pages={471-489}
}
• Published 1 September 2017
• Mathematics
• Mathematische Zeitschrift
We provide a description of certain invariance properties of completely bounded bimodule maps in terms of their symbols. If $$\mathbb {G}$$ G is a locally compact quantum group, we characterise the completely bounded $$L^{\infty }(\mathbb {G})'$$ L ∞ ( G ) ′ -bimodule maps that send $$C_0({\hat{\mathbb {G}}})$$ C 0 ( G ^ ) into $$L^{\infty }({\hat{\mathbb {G}}})$$ L ∞ ( G ^ ) in terms of the properties of the corresponding elements of the normal Haagerup tensor product L^{\infty }(\mathbb {G…
1 Citations

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