Remarks on positive maps of finite-dimensional simple Jordan algebras

DOI10.1016/S0034-4877(00)90008-9zbMath0971.46044MaRDI QIDQ5938515

Andrzej Kossakowski

Publication date: 22 July 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

completely positivedecomposable mapspositive maps of finite spin factors

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items (5)

Quaternionic quantum dynamics on complex Hilbert spaces ⋮ The Legacy of Andrzej Kossakowski ⋮ Complex projections of completely positive quaternionic maps ⋮ ALTERNATIVE ALGEBRAIC STRUCTURES FROM BI-HAMILTONIAN QUANTUM SYSTEMS ⋮ Proper versus improper mixtures: toward a quaternionic quantum mechanics

Cites Work

• General state changes in quantum theory
• Positive semidefinite biquadratic forms
• Extreme affine transformations
• Nonextendible positive maps
• Positive maps of low dimensional matrix algebras
• Nonrelativistic quantum mechanics as a noncommutative Markov process
• On an algebraic generalization of the quantum mechanical formalism
• Positive linear maps of operator algebras
• Decomposable Positive Maps on C ∗ -Algebras
• On the Jordan Structure of C ∗ -Algebras
• Positive Functions on C ∗ -Algebras
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