Kernel representation of completely positive Hilbert-Schmidt operators on standard forms

DOI10.1007/BF01304816zbMath0477.46051MaRDI QIDQ1160868

Lothar M. Schmitt, Gerd Wittstock

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Hilbert-Schmidt operatorsmatrix-orderedselfdual cone of completely positive operatorsstandard form of W*-algebras

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Inner product spaces and their generalizations, Hilbert spaces (46C99) Ordered topological linear spaces, vector lattices (46A40)

Related Items (6)

Semidiscrete Hilbert spaces ⋮ Fusion of defects ⋮ Haagerup approximation property for arbitrary von Neumann algebras ⋮ Finitely correlated states on quantum spin chains ⋮ Kernel operators in \(L^ p\)-spaces associated with semifinite von Neumann algebras ⋮ On J-positive maps on the Hilbert spaces associated to standard von Neumann algebras

Cites Work

• Normal weights on \(W^*\)-algebras
• Injectivity and operator spaces
• Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
• Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
• Tomita's theory of modular Hilbert algebras and its applications
• The standard form of von Neumann algebras.
• Positive Functions on C ∗ -Algebras

This page was built for publication: Kernel representation of completely positive Hilbert-Schmidt operators on standard forms