On O*- Representability and C*- Representability of *-Algebras
Artikel i vetenskaplig tidskrift, 2010

Characterization of the *-algebras in the algebra of bounded operators acting on Hilbert space is presented. Sufficient conditions for the existence of a faithful representation in pre-Hilbert space of a *-algebra in terms of its Groebner basis are given. These conditions are generalization of the unshrinkability of monomial *-algebras introduced by C. Lance and P. Tapper. The applications to *- doubles, monomial *-algebras and several other classes of *-algebras are presented.

Hilbert space

*-algebra

faithful representation

non-commutative Grobner basis

C*-algebra

O*-algebra

Författare

Stanislav Popovych

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Houston Journal of Mathematics

0362-1588 (ISSN)

Vol. 36 2 591-617

Ämneskategorier

Matematik

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Senast uppdaterat

2019-02-18