Introduction to the Theory of Representations of Finitely Presented *-Algebras
I. Representations by bounded operators
V. Ostrovskyi and Yu Samoilenko, Institute of Mathematics, Ukrainian National Academy of Sciences
This review gives fundamentals of representations of finitely *-algebras by bounded operators
2014 Pbk ISBN: 978-1-908106-32-2 270pp
The theory is illustrated with numerous examples of *-algebras. The examples, in particular, include *-algebras with two self-adjoint generators that satisfy a quadratic or a more general relation, *-algebras with three and four generators, *-algebras that arise from one and many-dimensional discrete dynamical systems, Wick *-algebras, various *-wild algebras. This review is intended for graduate students and researchers who specialize in this area of mathematics
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