Let ~ be a conjugate-homogeneous reflector on a vector space V (over R or C) with ~.~ a pointed cone contained in spec,~(V). A mapping on V X V whose range is contained in ~ which generalizes the usual inner product properties is called a vectorial inner product. A certain family of these vectorial
โฆ LIBER โฆ
On a lattice of hermitian-preserving cones
โ Scribed by Muriel J Skoug; Richard D Hill; Joseph R Siler
- Book ID
- 104155406
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 151 KB
- Volume
- 367
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
โฆ Synopsis
Refinements of a lattice of pointed cones of hermitian-preserving linear transformations are established by showing equality of some of the cones and proper inclusion for others. A finite nested sequence of nonpointed cones which are properly contained between the pointed cone ฯ(PSD) and the nonpointed cone HP is generated.
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