Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak limits of consecutive projections and of greedy steps   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 properties of weak limit points of residuals of random
greedy approximation with respect to $K$ dictionaries. In the case of convex
sets these properties imply weak convergence in all the cases known so far. In
particular, we give a short proof of the theorem of Amemiya and Ando on weak
convergence when the convex sets are subspaces. The question of the weak
convergence in general remains open.

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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: bayes-an