## Abstract A Banach space __X__ is said to have the __alternative Daugavet property__ if for every (bounded and linear) rank‐one operator __T__: __X__ → __X__ there exists a modulus one scalar __ω__ such that ∥Id+__ωT__ ∥ = 1 + ∥__T__ ∥. We give geometric characterizations of this property in the
The Torsion Product Property in Alternative Algebras
✍ Scribed by Edgar G. Goodaire; César Polcino Milies
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 175 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
In an alternative ring, when is the product of torsion units a torsion unit? We answer this question completely for alternative division rings, vector matrix algebras, and loop algebras.
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