Ein operatorwertiger Hahn-Banach Satz

DOI10.1016/0022-1236(81)90064-1zbMath0495.46005OpenAlexW2005634194MaRDI QIDQ1169651

Gerd Wittstock

Publication date: 1981

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90064-1

zbMATH Keywords

completely bounded selfadjoint bihomomorphisminjective W*-algebrainvariant completely positive projectionmatrix generalization of the Hahn-Banach theoremmatrix orderedmatrix sublinear functionals

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05)

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Cites Work

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• A Hahn decomposition for linear maps
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• Tensor products of operator algebras
• Separable nuclear \(C^*\)-algebras and injectivity
• Unbounded completely positive linear maps on \(C^*\)-algebras
• \(C^*\)-algebras and \(W^*\)-algebras.
• Poids sur une \(C^ *\)-algèbre
• Subalgebras of \(C^ *\)-algebras
• Sublineare Funktionale
• Order ideals in a \(C^*\)-algebra and its dual
• The Hahn-Banach Theorem and the Least Upper Bound Property
• Tensor Products of Non-Unital C^* -Algebras
• Quasi-Expectations and Amenable von Neumann Algebras
• Two finite, non‐hyperfinite, non‐isomorphic factors
• Positive Functions on C ∗ -Algebras

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