Year: 2012
Type: preprint
Abstract: An $n$-tuple of operators $(V_1,...,V_n)$ acting on a Hilbert space $H$ is said to be isometric if the row operator $(V_1,...,V_n) : H^n \to H$ 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 $n \geq 2$, the hyperreflexivity constant is at most 6.
Source: arXiv (Cornell University)
Authors: Fuller, Adam H., Kennedy, Matthew
Institutions: University of Waterloo, Carleton University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949225524