Geodesic
A note on the hyperreflexivity constant for certain reflexive algebras
Studia Mathematica, Tome 134 (1999) no. 3, pp. 203-206
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Using results on the reflexive algebra with two invariant subspaces, we calculate the hyperreflexivity constant for this algebra when the Hilbert space is two-dimensional. Then by the continuity of the angle for two subspaces, there exists a non-CSL hyperreflexive algebra with hyperreflexivity constant C for every C>1. This result leads to a kind of continuity for the hyperreflexivity constant. 
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Satoru Tosaka. A note on the hyperreflexivity constant for certain reflexive algebras. Studia Mathematica, Tome 134 (1999) no. 3, pp. 203-206. doi: 10.4064/sm-134-3-203-206

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