The automorphism group of a completely positive cone and its Lie algebra
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Publication:389650
DOI10.1016/j.laa.2011.10.006zbMath1286.22007OpenAlexW2134550080WikidataQ115344749 ScholiaQ115344749MaRDI QIDQ389650
Roman Sznajder, M. Seetharama Gowda, Jiyuan Tao
Publication date: 21 January 2014
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2011.10.006
Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Locally compact groups and their algebras (22D99)
Related Items (13)
Preservers of the cp-rank ⋮ Affine processes on symmetric cones ⋮ Unnamed Item ⋮ Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations ⋮ Partially positive matrices ⋮ On the bilinearity rank of a proper cone and Lyapunov-like transformations ⋮ Correlation matrices, Clifford algebras, and completely positive semidefinite rank ⋮ A REPRESENTATION THEOREM FOR LYAPUNOV-LIKE TRANSFORMATIONS ON EUCLIDEAN JORDAN ALGEBRAS ⋮ Lyapunov rank of polyhedral positive operators ⋮ Monotonically positive matrices ⋮ Higher-order interference and single-system postulates characterizing quantum theory ⋮ Linear mappings preserving the completely positive rank ⋮ The Lyapunov rank of an improper cone
Cites Work
- Linear transformations preserving symmetric rank one matrices
- Positive groups on \(\mathcal H^n\) are completely positive
- The Minnesota notes on Jordan algebras and their applications. Edited and annotated by Aloys Krieg and Sebastian Walcher
- On the \(\mathbf P\)-property of \(\mathbf Z\) and Lyapunov-like transformations on Euclidean Jordan algebras
- Positive operators and an inertia theorem
- Linear transformations on symmetric matrices
- Cross-Positive Matrices
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- Unnamed Item
- Unnamed Item
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