Operations on orbits of unimodular vectors
β Scribed by Leonid N Vaserstein
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 281 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
A subset R of a vector space V (or R n ) is called unimodular (or U-system) if every vector r β R has an integral representation in every basis B β R. A U-system R is called maximal if one cannot add a non-zero vector not colinear to vectors of R such that the new system is unimodular and spans RR.
## Abstract The notion of Fourier type and cotype of linear maps between operator spaces with respect to certain unimodular (possibly nonabelian and noncompact) group is defined here. We develop analogous theory compared to Fourier types with respect to locally compact abelian groups of operators b