Alternating projections and orthogonal decompositions

0373150 - MÚ 2012 RIV JP eng J - Journal Article
Kopecká, Eva - Reich, S.
Alternating projections and orthogonal decompositions.
Journal of Nonlinear and Convex Analysis. Roč. 12, č. 1 (2011), s. 155-159. ISSN 1345-4773. E-ISSN 1880-5221
R&D Projects: GA AV ČR IAA100190901
Institutional research plan: CEZ:AV0Z10190503
Keywords : alternating orthogonal projections * Hilbert space * Lipschitz mapping
Subject RIV: BA - General Mathematics
Impact factor: 0.933, year: 2011
http://www.ybook.co.jp/online2/opjnca/vol12/p155.html

We present a new proof of von Neumann's classical convergence theorem regarding alternating orthogonal projections in Hilbert space. Our argument is based on an orthogonal decomposition lemma and on the construction of a Tietze-type potential.
Permanent Link: http://hdl.handle.net/11104/0206304