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Acknowledgments Chapter 1 Introduction
Completely Positive Maps
9 other sections not shown
algebra analysis applications associated assume Banach space C*-algebra called canonical Chapter characterization Clearly closed commuting compact completely bounded maps completely contractive completely positive maps condition Consequently Consider constant continuous converges Corollary correspondence decomposition defined denote dense difference direct easy entries equivalent example Exercise exists extends extension theorem fact finite given gives Hence Hilbert space homomorphism implies injective invertible isomorphic joint K-spectral Lemma Library linear functional linear map matrix measure minimal Nonlinear norm normal obtain operator system particular polynomials positive definite positive elements problems Proof Proposition Prove question range respect result SANTA CRUZ satisfying self-adjoint similar span spectral set Stinespring representation subalgebra subset subspace sufficient suppose techniques tensor product Theorem theory unique unital unital C*-algebra unital homomorphism unitary UNIVERSITY vectors verify Volume yields