Real operator algebras and real completely isometric theory

Real operator algebras and real completely isometric theory This paper is a continuation of the program started by Ruan (Acta Math Sin (Engl Ser) 19(3):485–496, 2003, Illinois J Math 47(4):1047–1062, 2003), of developing real operator space theory. In particular, we develop the theory of real operator algebras. We also show among other things that the injective envelope, $$C^*$$ -envelope and non-commutative Shilov boundary exist for a real operator space. We develop real one-sided $$M$$ -ideal theory and characterize one-sided $$M$$ -ideals in real $$C^*$$ -algebras and real operator algebras with contractive approximate identity. Positivity Springer Journals

Real operator algebras and real completely isometric theory

Positivity , Volume 18 (1) – Apr 6, 2013

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Springer Basel
Copyright © 2013 by Springer Basel
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
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