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Details for article 9 of 17 found articles
| Title: |
Generalizations of topheavy cones |
| Author: |
Barker, G. P. Carlson, Dave |
| Appeared in: |
Linear & multilinear algebra |
| Paging: | Volume 8 (1980) nr. 3 pages 219-230 |
| Year: |
1980-02 |
| Contents: |
A closed convex cone Kin a finite-dimensional real inner product space Vis said to be symmetric relative to subspace Lof V, or L-symmetric, if x- y∈ Kwhenever x∈ Ly∈ L⊥and x+ y∈ K. Fiedler and Haynsworth have shown that a full pointed cone Kis symmetric relative to a one-dimensional subspace Liff it is “top heavy” relative to some norm ν on L⊥, i.e., it has the form {x1e1+y| x1≥ v(y)}for some e∈ K∩ L. This result is first extended to arbitrary L-symmetric cones using extended seminorms. Cones top heavy relative to vectorial norms are discussed. Finally, it is shown that the cone of positive operators on a given L-symmetric cone is itself symmetric relative to a subspace of operators determined by L. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 9 of 17 found articles
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