Number of the records: 1
Do projections stay close together?
- 1.
SYSNO ASEP 0321374 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Do projections stay close together? Title Zůstávají projekce pohromadě? Author(s) Kirchheim, B. (GB)
Kopecká, Eva (MU-W) RID, SAI
Müller, S. (DE)Source Title Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 350, č. 2 (2009), s. 859-871Number of pages 13 s. Language eng - English Country US - United States Keywords projection ; iteration ; Hilbert space Subject RIV BA - General Mathematics R&D Projects GA201/06/0018 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000261895900038 Annotation We estimate the rate of convergence of products of projections on K intersecting lines in the Hilbert space. More generally, consider the orbit of a point under any sequence of orthogonal projections on K arbitrary lines in Hilbert space. Assume that the sum of the squares of the distances of the consecutive iterates is less than epsilon. We show that if epsilon tends to zero, then the diameter of the orbit tends to zero uniformly for all families of a fixed number K of lines. We relate this result to questions concerning convergence of products of projections on finite families of closed subspaces of the Hilbert space. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2009
Number of the records: 1