Canonical angles of unitary spaces and perturbations of direct complements

Authors
Wimmer, HK
Citation
Hk. Wimmer, Canonical angles of unitary spaces and perturbations of direct complements, LIN ALG APP, 287(1-3), 1999, pp. 373-379
Citations number
8
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
287
Issue
1-3
Year of publication
1999
Pages
373 - 379
Database
ISI
SICI code
0024-3795(19990115)287:1-3<373:CAOUSA>2.0.ZU;2-A
Abstract
Let C-n = L + W be a given direct sum decomposition. We determine the large st number r(i) such that all subspaces M for which the gap theta between L and M satisfies theta(L, M) < r(i) have the property dim(M boolean AND W) < i. The problem involves angles be tween subspaces, i.e. singular values of products of projections. (C) 1999 Elsevier Science Inc. All rights reserve d.