Herrero's approximation problem for quasidiagonal operators

Authors
Citation
Np. Brown, Herrero's approximation problem for quasidiagonal operators, J FUNCT ANA, 186(2), 2001, pp. 360-365
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
186
Issue
2
Year of publication
2001
Pages
360 - 365
Database
ISI
SICI code
0022-1236(20011110)186:2<360:HAPFQO>2.0.ZU;2-7
Abstract
Let T be a quasidiagonal operator on a separable Hilbert space. It is shown that there exists a sequence of operators {T-n} such that dim(C*(T-n)) < i s an element of and parallel toT - T(n)parallel to --> 0 if and only if C*( T) is exact. (C) 2001 Academic Press.