Simplicial cones and the existence of shape-preserving cyclic operators.

DOI10.1016/S0024-3795(03)00606-2zbMath1044.46005MaRDI QIDQ1414704

Bruce L. Chalmers, Michael Prophet, Jason M. Ribando

Publication date: 4 December 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

simplicial conescyclic matricesshape-preserving operators

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22)

Related Items (2)

Minimal Multi-Convex Projections Onto Subspaces of Incomplete Algebraic Polynomials ⋮ Minimal Shape-Preserving Projections Onto Π _n : Generalizations and Extensions

Cites Work

• Extension of positive operators and Korovkin theorems
• Minimal projections in \(\mathcal L_1\)-spaces
• Total positivity and convexity preservation
• Optimal interpolating spaces preserving shape
• The existence of shape-preserving operators with a given action
• On \(j\)-convex preserving interpolation operators
• Extension constants of unconditional two-dimensional operators
• Minimal shape-preserving projections onto Π_n
• A Theorem of the Hahn-Banach Type for Linear Transformations
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