Ritt operators and convergence in the method of alternating projections

Abstract. Given N ≥ 2 closed subspaces M1, . . . , MN of a Hilbert space X, let Pk denote the orthogonal projection onto Mk, 1 ≤ k ≤ N. It is known that the sequence (xn), defined recursively by x0 = x and xn+1 = PN · · · P1xn for n ≥ 0, converges in norm to PMx as n → ∞ for all x ∈ X, where PM deno...

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Príomhchruthaitheoirí: Badea, C, Seifert, D
Formáid: Journal article
Foilsithe / Cruthaithe: Elsevier 2016