The Frobenius norm and the commutator
✍ Scribed by Albrecht Böttcher; David Wenzel
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 409 KB
- Volume
- 429
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
Two types of commutator inequalities for the Hilbert-Schmidt norm are established. The first type of these inequalities is related to a classical inequality of Clarkson, and the second type is related to the unitary approximation of positive and invertible operators. 2002 Elsevier Science (USA)
In this paper we study the structure of an abelian Hessian algebra. First we show that it can be decomposed into unital abelian Hessian algebras and a complete abelian Hessian algebra (abbreviated by CAHA). Then we show that a unital one is in fact a hyperbolic extension of a CAHA. Next we investiga