Article citationsMore>>

Christensen, E. (1981) On Non Self-Adjoint Representations of C^*-Algebras. American Journal of Mathematics, 103, 817-833.
https://doi.org/10.2307/2374248

has been cited by the following article:

• TITLE: On Kadison’s Similarity Problem for Homomorphisms of the Algebra of Complex Polynomials

  AUTHORS: Joachim Moussounda Mouanda

  KEYWORDS: Inequalities for Sums, Fourier Coefficients, Operator Theory, Polynomials

  JOURNAL NAME: Advances in Pure Mathematics, Vol.11 No.9, September 22, 2021

  ABSTRACT: We prove that every homomorphism of the algebra Pn into the algebra of operators on a Hilbert space is completely bounded. We show that the contractive homomorphism introduced by Parrott, which is not completely contractive, is completely bounded (similar to a completely contractive homomorphism). We also show that homomorphisms of the algebra Pn generate completely positive maps over the algebras C(Tn)and M2(C(Tn)).