Date of this Version
Indiana University Mathematics Journal c , Vol. 62, No. 5 (2013)
An n-tuple of operators (V1, . . . ,Vn) acting on a Hilbert space H is said to be isometric if the row operator (V1, . . . ,Vn) : Hn → H is an isometry. We prove that every isometric n-tuple is hyperreflexive, in the sense of Arveson. For n = 1, the hyperreflexivity constant is at most 95. For n ≥ 2, the hyperreflexivity constant is at most 6.