Estimates of \(k\)-hyperreflexivity constants (Q2250914)

The notion of \(k\)-reflexivity was first introduced in [\textit{W. Arveson}, J. Funct. Anal. 20, 208--233 (1975; Zbl 0309.46053)]. From the authors' summary: ``The notion of \(k\)-reflexivity for spaces of operators between separable complex Hilbert spaces is studies. We consider a few cases when a \(k\)-hyperreflexive space \(\mathcal{S}\) is transformed into a \(k'\)-hyperreflexive space \(\mathcal{S}'.\) We give estimates for the \(k'\)-hyperreflexivity constant of the transformed space.''