Linear preservers of isomorphic types of lattices of invariant operator ranges

Authors
Rodman, L Zobin, N
Citation
L. Rodman et N. Zobin, Linear preservers of isomorphic types of lattices of invariant operator ranges, P AM MATH S, 129(10), 2001, pp. 2981-2986
Citations number
5
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
10
Year of publication
2001
Pages
2981 - 2986
Database
ISI
SICI code
0002-9939(2001)129:10<2981:LPOITO>2.0.ZU;2-S
Abstract
We describe all linear self-mappings of the space of bounded linear operato rs in an infinite dimensional separable complex Hilbert space which preserv e the isomorphism class of the lattice of invariant operator ranges.