Hyperreflexivity and a dual product construction Academic Article uri icon


  • We show that an example of a nonhyperreflexive CSL algebra recently constructed by Davidson and Power is a special case of a general and natural reflexive subspace construction. Completely different techniques of proof are needed because of absence of symmetry. It is proven that if S mathcal {S} and I mathcal {I} are reflexive proper linear subspaces of operators acting on a separable Hilbert space, then the hyperreflexivity constant of ( S I ) {({mathcal {S}_ \bot } otimes {mathcal {I}_ \bot })^ \bot } is at least as great as the product of the constants of S mathcal {S} and I mathcal {I} .

published proceedings

  • Transactions of the American Mathematical Society

author list (cited authors)

  • Larson, D. R.

citation count

  • 6

complete list of authors

  • Larson, David R

publication date

  • January 1986