Decomposition of positive projections on C*-algebras

DOI10.1007/BF01359865zbMath0447.46049MaRDI QIDQ1146354

Erling Størmer

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163346

zbMATH Keywords

Jordan algebrafaithful representationHermitian elementsJC-subalgebraJordan *-homomorphismunital positive projection

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) General theory of (C^*)-algebras (46L05) Jordan structures on Banach spaces and algebras (17C65) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (14)

Positive projections of von Neumann algebras onto \(JW\)-algebras ⋮ A reduction theorem for capacity of positive maps ⋮ Positive projections of symmetric matrices and Jordan algebras ⋮ Annihilating entanglement between cones ⋮ Separable states and positive maps ⋮ Convex cones in mapping spaces between matrix algebras ⋮ A Note on Positive Maps and Classification of States ⋮ Positive extensions of automorphisms of spin factors ⋮ On \(k\)-decomposability of positive maps ⋮ The structural physical approximation conjecture ⋮ Decomposition of Positive Projections onto Jordan Algebras ⋮ On positive decomposable maps ⋮ Images of contractive projections on operator algebras ⋮ Positive projections onto spin factors

Cites Work

• Positive semidefinite biquadratic forms
• Injectivity and operator spaces
• Nonextendible positive maps
• Positive maps of low dimensional matrix algebras
• On an algebraic generalization of the quantum mechanical formalism
• Jordan algebras of type I
• Positive linear maps of operator algebras
• Subalgebras of \(C^ *\)-algebras
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• On the projection of norm one in $W^ *$-algebras
• The Trace in Finite Operator Algebras
• Positive projections and Jordan structure in operator algebras.
• On the Jordan Structure of C ∗ -Algebras
• Jordan algebras of self-adjoint operators
• Irreducible Jordan Algebras of Self-Adjoint Operators
• Jordan Algebras of Self-Adjoint Operators
• Positive Functions on C ∗ -Algebras

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