P. Borodin

collaborators

3 papers

math.FA2021

Weak limits of consecutive projections and of greedy steps

Petr A. Borodin, Eva Kopecka

Let $H$ be a Hilbert space. We investigate the properties of weak limit points of iterates of random projections onto $K \geq 2$ closed convex sets in $H$ and the parallel propertie…

math.FA2021

Sequences of $m$ -term deviations in Hilbert space

Petr A. Borodin, Eva Kopecká

Let $D$ be a dictionary in a Hilbert space $H$ , that is, a set of unit elements whose linear combinations are dense in $H$ . We consider the least $m$ -term deviation $σ_{m} (x)$ of an…

math.FA2019

Alternating projections, remotest projections, and greedy approximation

Petr A. Borodin, Eva Kopecká

Let $L_{1}, L_{2}, \dots, L_{K}$ be a family of closed subspaces of a Hilbert space $H$ , $L_{1} \cap \dots \cap L_{K} = {0}$ ; let $P_{k}$ be the orthogonal projection onto $L_{k}$ . We consider two…

Weak limits of consecutive projections and of greedy steps

Sequences of m-term deviations in Hilbert space

Alternating projections, remotest projections, and greedy approximation

Sequences of $m$ -term deviations in Hilbert space