The extreme points of a set of positive semidefinite operators

DOI10.1016/0024-3795(88)90029-8zbMath0657.15018OpenAlexW2030016818MaRDI QIDQ1110621

William N. jun. Anderson, George E. Trapp

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90029-8

zbMATH Keywords

positive definite operatorshorted operatorextreme and exposed points

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (5)

Parallel subtraction of nonnegative forms ⋮ Extreme subsets of operator intervals ⋮ ON THE ORDER STRUCTURE OF REPRESENTABLE FUNCTIONALS ⋮ Extremal bipartite matrices ⋮ Faces of sets of operators with the numerical range in a prescribed polyhedron

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extremal problems on the set of nonnegative definite matrices
• A potential-theoretic approach to parallel addition
• Regularizing the abstract convex program
• Extrémales du cône des matrices de type non négatif, à coefficients positifs ou nuls
• Cones of diagonally dominant matrices
• The lattice of faces of a finite dimensional cone
• Shorted Operators. II
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Shorted Operators

This page was built for publication: The extreme points of a set of positive semidefinite operators