Cyclic projectors and separation theorems in idempotent convex geometry
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Publication:2519211
DOI10.1007/s10958-008-9243-8zbMath1173.47045arXiv0706.3347OpenAlexW3103393814MaRDI QIDQ2519211
Stéphane Gaubert, Sergey M. Sergeev
Publication date: 26 January 2009
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.3347
Axiomatic and generalized convexity (52A01) Semirings (16Y60) Convex sets in topological linear spaces; Choquet theory (46A55) Topological algebras, normed rings and algebras, Banach algebras (46H99) Nonlinear operators and their properties (47H99)
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Cites Work
- The Minkowski theorem for max-plus convex sets
- Generators, extremals and bases of max cones
- The structure of max-plus hyperplanes
- Convexity and log convexity for the spectral radius
- Duality and separation theorems in idempotent semimodules.
- The equation \(A \otimes x = B \otimes y\) over \((\max,+)\)
- Tropical convexity
- Projections in minimax algebra
- Idempotent Mathematics and Mathematical Physics
- Convex Analysis
- Idempotent functional analysis: An algebraic approach
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