✦ LIBER ✦

Quasinilpotent Banach–Lie Algebras Are Baker–Campbell–Hausdorff

✍ Scribed by Wojciech Wojtyński

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 179 KB
Volume: 153
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1997.3202

No coin nor oath required. For personal study only.

✦ Synopsis

It is proved that for a Banach Lie algebra L the Baker Campbell Hausdorff series converges for any pair a, b # L if and only if for each c # L the adjoint operator ad c is quasi-nilpotent.