Paving small matrices and the Kadison-Singer extension problem. II: Computational results

DOI10.1007/s11425-011-4321-7zbMath1269.46040OpenAlexW2086226196MaRDI QIDQ424884

Vrej Zarikian, Gary Weiss, Dieter S. Schmidt

Publication date: 7 June 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4321-7

zbMATH Keywords

Anderson's paving problemKadison-Singer extension problem

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) States of selfadjoint operator algebras (46L30)

Uses Software

• Matlab

Cites Work

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• Extreme points in sets of positive linear maps on \(\mathcal B (\mathcal H)\)
• ℬ( H ) has a pure state that is not multiplicative on any masa
• Extensions of Pure States
• Some new equivalences of Anderson’s paving conjectures
• Paving small matrices and the Kadison-Singer extension problem
• Extensions, Restrictions, and Representations of States on C ∗ - Algebras
• Projections and the Kadison-Singer problem

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