2015/08/20 by Eva Kopecká, Adam Paszkiewicz, Kopecká, Eva +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA
paper · pdf · doi:10.48550/arxiv.1508.05029
arxiv created 2015/08/20 · arxiv updated 2015/08/21
Let H be an infinite dimensional Hilbert space. We show that there exist three orthogonal projections X1, X2, X3 onto closed subspaces of H such that for every 0≠ z0∈ H there exist k1, k2,… ∈ \1,2,3\ so that the sequence of iterates defined by zn= Xkn zn-1 does not converge in norm.