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22nd Conference in Operator Theory
July 3-8, 2008
West University
Timisoara, Romania

Organizers
Institute of Mathematics of the Romanian Academy and West University in Timisoara

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Operator hyperreflexivity and subspace lattices
by
Kamila Kliś-Garlicka
Agricultural University of Krakow
Coauthors: Ivan Todorov

Let H denote a Hilbert space and P(H) a lattice of all orthogonal projections on H.

A SOT-closed projection lattice L is called operator hyperreflexive if there is a constant C > 0 such that
dist(P, L) ≤ C
sup
∥x∥ ≤ 1 
 dist(Px, Lx)
for all projections P ∈ P(H).

Some results and examples will be presented.

Date received: June 14, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawh-98.