Positive operators on tensor products which are the tensor product of their restrictions

DOI10.1007/BF01199117zbMath0672.47027OpenAlexW2078581536MaRDI QIDQ1120113

Michael Pannenberg

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01199117

zbMATH Keywords

extreme pointpositive linear functionallattice homomorphismBanach lattices possessing quasi-interior positive elementsinvolutive Banach algebrasKakutani-Krein theoremprincipal projection propertytensor products of positive operators and pure completely positive operators on \(C^ *\)-algebrastensor products of states and pure states

Mathematics Subject Classification ID

Banach lattices (46B42) Positive linear operators and order-bounded operators (47B65) Tensor products in functional analysis (46M05) Tensor products of linear operators (47A80)

Cites Work

• Korovkin approximation in Waelbroeck algebras
• Korovkin systems of stochastic processes
• Examples of orthomorphisms
• Subalgebras of \(C^ *\)-algebras
• A Korovkin Type Approximation Theorem for Set-Valued Functions
• An order-theoretic approach to involutive algebras
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