Closed subspaces which are attractors for representations of the Cuntz algebras

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66111We analyze the structure of co-invariant subspaces for representations of the Cuntz algebras O_N for N = 2,3,..., N < infinity, with special attention to the representations which are associated to orthonormal and tight-frame wavelets in L^2(R) corresponding to scale number N.32 pages, LaTeX2e "birkart" document class; accepted for publication in the Proceedings of the 2002 IWOTA conference at Virginia Tech in Blacksburg, VA. v4 revision: changes and corrections to Theorem 4.4 and Corollary 7.1. Also Theorem 4.4 is relabeled "Proposition 4.4", and clarifying remarks are addedOperator AlgebrasFunctional AnalysisPrimary 46L60, 47L30, 42A16, 43A65; Secondary 33C45, 42C10, 94A12, 46L45, 42A65, 41A15Closed subspaces which are attractors for representations of the Cuntz algebrastext