Random matrices and -theory for exact -algebras.
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Haagerup, U., Thorbjørnsen, S. (1999)
Documenta Mathematica
Andrzej Łuczak (2015)
Colloquium Mathematicae
We generalize a result of Choi and Effros on the range of a contractive completely positive projection in a C*-algebra to the case when this projection is only strongly positive using, moreover, an elementary argument instead of a 2×2-matrix technique.
H. Leptin, J. Boidol, J. Schürmann, D. Vahle (1978)
Mathematische Annalen
Stacey, P.J. (2006)
The New York Journal of Mathematics [electronic only]
Bruce Blackadar, Ola Bratteli (1992)
Mathematische Annalen
Marius Dadarlat (1995)
Journal für die reine und angewandte Mathematik
Heydar Radjavi (1976)
Mathematische Annalen
Rada, Catalin (2009)
The New York Journal of Mathematics [electronic only]
Charles J.K. Batty (1979)
Mathematische Zeitschrift
Yoshikazu Katayama (1981)
Mathematica Scandinavica
Edward Kissin (1993)
Journal für die reine und angewandte Mathematik
Kari Ylinen (1993)
Studia Mathematica
Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.
Davidson, Kenneth R., Yang, Dilian (2009)
The New York Journal of Mathematics [electronic only]
Daniele Guido, Lars Tuset (2001)
Fundamenta Mathematicae
Suppose B is a unital algebra which is an algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducible representations of B as operators on a Banach space and the σ-complete ultrafilters on X (Theorem 2.6). Therefore, if X has less than measurable cardinality (e.g. accessible), the equivalence classes of the irreducible representations of B are labeled by points of X, and all representations of B are described (Theorem 3.3).
Mosić, Dijana, Djordjević, Dragan S. (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
M.R.F. Smyth (1975)
Mathematische Zeitschrift
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