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Quasinilpotent Operators in Operator Lie Algebras

✍ Scribed by Peng Cao; Shanli Sun


Book ID
105760374
Publisher
SP Birkhäuser Verlag Basel
Year
2006
Tongue
English
Weight
147 KB
Volume
58
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES


Quasinilpotent Banach–Lie Algebras Are B
✍ Wojciech Wojtyński 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 179 KB

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.

On Lie algebras of operators
✍ Ola Bratteli; George A Elliott; F.M Goodman; Palle E.T Jorgensen 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 862 KB