ALTERNATING PROJECTIONS AND ORTHOGONAL DECOMPOSITIONS

作者：Kopecka Eva^*; Reich Simeon

来源：Journal of Nonlinear and Convex Analysis, 2011, 12(1): 155-159.

• Alternating orthogonal projections
• Hilbert space
• Lipschitz mapping
• orthogonal decomposition
• Tietze-type potential
• Whitney extension theorem

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.

• 出版日期2011