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- Kadison–Singer_problem abstract "In mathematics, the Kadison–Singer problem, posed in 1959, was a problem in functional analysis about whether certain extensions of certain linear functionals on certain C*-algebras were unique. The statement was proven in 2013.The statement arose from work on the foundations of quantum mechanics done by Paul Dirac in the 1940s and was formalized in 1959 by Richard Kadison and Isadore Singer. The problem was subsequently shown to be equivalent to numerous open problems in pure mathematics, applied mathematics, engineering and computer science. Kadison/Singer and most later authors believed the statement to be false, but in 2013 it was proven true by Adam Marcus, Daniel Spielman and Nikhil Srivastava, who received the 2014 Pólya Prize for the achievement.The solution was made possible by a reformulation provided by Joel Anderson, who showed in 1979 that his \"paving conjecture\", which only involves operators on finite-dimensional Hilbert spaces, is equivalent to the Kadison–Singer problem. Nik Weaver provided another reformulation in a finite-dimensional setting, and this version was proved true using random polynomials.".
- Kadison–Singer_problem wikiPageExternalLink KS.pdf.
- Kadison–Singer_problem wikiPageID "48769660".
- Kadison–Singer_problem wikiPageLength "7941".
- Kadison–Singer_problem wikiPageOutDegree "24".
- Kadison–Singer_problem wikiPageRevisionID "702880443".
- Kadison–Singer_problem wikiPageWikiLink 1_(number).
- Kadison–Singer_problem wikiPageWikiLink Adam_Marcus_(mathematician).
- Kadison–Singer_problem wikiPageWikiLink Bounded_operator.
- Kadison–Singer_problem wikiPageWikiLink C*-algebra.
- Kadison–Singer_problem wikiPageWikiLink Category:Operator_algebras.
- Kadison–Singer_problem wikiPageWikiLink Category:Quantum_mechanics.
- Kadison–Singer_problem wikiPageWikiLink Convex_combination.
- Kadison–Singer_problem wikiPageWikiLink Daniel_Spielman.
- Kadison–Singer_problem wikiPageWikiLink Discrepancy_theory.
- Kadison–Singer_problem wikiPageWikiLink Functional_analysis.
- Kadison–Singer_problem wikiPageWikiLink George_Pólya_Prize.
- Kadison–Singer_problem wikiPageWikiLink Hilbert_space.
- Kadison–Singer_problem wikiPageWikiLink Isadore_Singer.
- Kadison–Singer_problem wikiPageWikiLink Linear_form.
- Kadison–Singer_problem wikiPageWikiLink Mathematics.
- Kadison–Singer_problem wikiPageWikiLink Matrix_norm.
- Kadison–Singer_problem wikiPageWikiLink Nikhil_Srivastava.
- Kadison–Singer_problem wikiPageWikiLink Operator_norm.
- Kadison–Singer_problem wikiPageWikiLink Paul_Dirac.
- Kadison–Singer_problem wikiPageWikiLink Quantum_mechanics.
- Kadison–Singer_problem wikiPageWikiLink Richard_Kadison.
- Kadison–Singer_problem wikiPageWikiLink Sequence_space.
- Kadison–Singer_problem wikiPageWikiLink State_(functional_analysis).
- Kadison–Singer_problem wikiPageWikiLinkText "Kadison–Singer problem".
- Kadison–Singer_problem wikiPageUsesTemplate Template:Cite_web.
- Kadison–Singer_problem wikiPageUsesTemplate Template:Reflist.
- Kadison–Singer_problem subject Category:Operator_algebras.
- Kadison–Singer_problem subject Category:Quantum_mechanics.
- Kadison–Singer_problem hypernym Problem.
- Kadison–Singer_problem type Disease.
- Kadison–Singer_problem comment "In mathematics, the Kadison–Singer problem, posed in 1959, was a problem in functional analysis about whether certain extensions of certain linear functionals on certain C*-algebras were unique. The statement was proven in 2013.The statement arose from work on the foundations of quantum mechanics done by Paul Dirac in the 1940s and was formalized in 1959 by Richard Kadison and Isadore Singer.".
- Kadison–Singer_problem label "Kadison–Singer problem".
- Kadison–Singer_problem wasDerivedFrom Kadison–Singer_problem?oldid=702880443.
- Kadison–Singer_problem isPrimaryTopicOf Kadison–Singer_problem.