. . . . "[CF8DAE19EC55]" . . "RIV/67985840:_____/09:00321374" . "\u010Cl\u00E1nek se zab\u00FDv\u00E1 rychlost\u00ED konvergence iterac\u00ED projekc\u00ED na K p\u0159\u00EDmek v Hilbertov\u011B prostoru. V\u00FDsledek je d\u00E1n do souvislosti s ot\u00E1zkou konvergence iterac\u00ED projekci na K podprostoru Hilbertova prostoru."@cs . "Journal of Mathematical Analysis and Applications" . . . . . . "Do projections stay close together?"@en . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Do projections stay close together?" . . "Z\u016Fst\u00E1vaj\u00ED projekce pohromad\u011B?"@cs . . "Kopeck\u00E1, Eva" . "projection; iteration; Hilbert space"@en . "Do projections stay close together?" . "RIV/67985840:_____/09:00321374!RIV09-AV0-67985840" . "13"^^ . . "311030" . "M\u00FCller, S." . "1"^^ . "2" . . "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."@en . "Do projections stay close together?"@en . "3"^^ . "Z\u016Fst\u00E1vaj\u00ED projekce pohromad\u011B?"@cs . "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." . . "P(GA201/06/0018), Z(AV0Z10190503)" . . "0022-247X" . "350" . "Kirchheim, B." . "000261895900038" .