On the extreme points of the set of bistochastic operators
β Scribed by Farruh Shahidi
- Book ID
- 110149401
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2008
- Tongue
- English
- Weight
- 529 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
Consider the order interval of operators \([0, A\}=\{X \mid 0 \leq X \leq A\}\). In finite dimensions (or if \(A\) is invertible) then the extreme points of \([0, A]\) are the shorted operators (generalized Schur complements) of \(A\). This is false in the general infinite dimensional case. We give
A convex subset K of a vector space E over the field of real numbers is linearly bounded (linearly closed) if every line intersects K in a bounded (closed) subset of the line. A hyperplane is the set of x ~ E that satisfy a linear equationf(x) = c, wherefis a linear functional and c is a real number