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- State_(functional_analysis) abstract "In functional analysis, a state of an operator system is a positive linear functional of norm 1. For M an operator system in a C*-algebra A with identity, the set of all states of M, sometimes denoted by S(M), is convex, weak-* closed in the Banach dual space M*. Thus the set of all states of M with the weak-* topology forms a compact Hausdorff space, known as the state space of M .In the C*-algebraic formulation of quantum mechanics, states in this previous sense correspond to physical states, i.e. mappings from physical observables (self-adjoint elements of the C*-algebra) to their expected measurement outcome (real number).".
- State_(functional_analysis) wikiPageID "454959".
- State_(functional_analysis) wikiPageLength "4964".
- State_(functional_analysis) wikiPageOutDegree "26".
- State_(functional_analysis) wikiPageRevisionID "698449956".
- State_(functional_analysis) wikiPageWikiLink C*-algebra.
- State_(functional_analysis) wikiPageWikiLink Category:C*-algebras.
- State_(functional_analysis) wikiPageWikiLink Category:Functional_analysis.
- State_(functional_analysis) wikiPageWikiLink Choquet_theory.
- State_(functional_analysis) wikiPageWikiLink Density_matrix.
- State_(functional_analysis) wikiPageWikiLink Functional_analysis.
- State_(functional_analysis) wikiPageWikiLink Gelfand_representation.
- State_(functional_analysis) wikiPageWikiLink Gelfand–Naimark–Segal_construction.
- State_(functional_analysis) wikiPageWikiLink Hahn_decomposition_theorem.
- State_(functional_analysis) wikiPageWikiLink Krein–Milman_theorem.
- State_(functional_analysis) wikiPageWikiLink Net_(mathematics).
- State_(functional_analysis) wikiPageWikiLink Operator_norm.
- State_(functional_analysis) wikiPageWikiLink Operator_system.
- State_(functional_analysis) wikiPageWikiLink Positive_linear_functional.
- State_(functional_analysis) wikiPageWikiLink Probability_measure.
- State_(functional_analysis) wikiPageWikiLink Quantum_mechanics.
- State_(functional_analysis) wikiPageWikiLink Quantum_state.
- State_(functional_analysis) wikiPageWikiLink Radon_measure.
- State_(functional_analysis) wikiPageWikiLink Richard_Kadison.
- State_(functional_analysis) wikiPageWikiLink Signed_measure.
- State_(functional_analysis) wikiPageWikiLink State_(functional_analysis).
- State_(functional_analysis) wikiPageWikiLink Von_Neumann_algebra.
- State_(functional_analysis) wikiPageWikiLinkText "State (functional analysis)".
- State_(functional_analysis) wikiPageWikiLinkText "State (functional analysis)#Properties of states".
- State_(functional_analysis) wikiPageWikiLinkText "State on a C*-algebra".
- State_(functional_analysis) wikiPageWikiLinkText "here".
- State_(functional_analysis) wikiPageWikiLinkText "positive normalized linear functionals".
- State_(functional_analysis) wikiPageWikiLinkText "pure states".
- State_(functional_analysis) wikiPageWikiLinkText "pure".
- State_(functional_analysis) wikiPageWikiLinkText "state space".
- State_(functional_analysis) wikiPageWikiLinkText "state".
- State_(functional_analysis) wikiPageWikiLinkText "states".
- State_(functional_analysis) wikiPageWikiLinkText "tracial state".
- State_(functional_analysis) wikiPageWikiLinkText "vector state".
- State_(functional_analysis) wikiPageUsesTemplate Template:Citation.
- State_(functional_analysis) subject Category:C*-algebras.
- State_(functional_analysis) subject Category:Functional_analysis.
- State_(functional_analysis) type Algebra.
- State_(functional_analysis) type Function.
- State_(functional_analysis) comment "In functional analysis, a state of an operator system is a positive linear functional of norm 1. For M an operator system in a C*-algebra A with identity, the set of all states of M, sometimes denoted by S(M), is convex, weak-* closed in the Banach dual space M*.".
- State_(functional_analysis) label "State (functional analysis)".
- State_(functional_analysis) sameAs Q2917249.
- State_(functional_analysis) sameAs Zustand_(Mathematik).
- State_(functional_analysis) sameAs Estado_(análisis_funcional).
- State_(functional_analysis) sameAs מצב_(אנליזה_פונקציונלית).
- State_(functional_analysis) sameAs Estado_(análise_funcional).
- State_(functional_analysis) sameAs m.02bj_w.
- State_(functional_analysis) sameAs Q2917249.
- State_(functional_analysis) wasDerivedFrom State_(functional_analysis)?oldid=698449956.
- State_(functional_analysis) isPrimaryTopicOf State_(functional_analysis).