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The Jordan lattice completion and a note on injective envelopes and von Neumann algebras
Ulrich Haag
The article associates two fundamental lattice constructions with each regular unital real ordered Banach space (function system). These are used to establish certain results in th…
The Dirichlet problem and spectral theory of operator algebras
Ulrich Haag
The main result of the paper is an extension of the Dirichlet problem from (closures of) bounded open domains U to arbitrary compact subsets X of the complex plane, i.e. the closur…
A note on injective envelopes and von Neumann algebras
Ulrich Haag
The article exhibits certain relations between the injective envelope I(A) of a C*-algebra A and the von Neumann algebra generated by a representation lambda of A provided it is in…
Super Operator Systems, Strong Norms, and Operator Tensor Products
Ulrich Haag
A notion of super operator system is defined which generalizes the usual notion of operator systems to include certain unital involutive operator spaces which cannot be represented…