© 2020, PleiadesT Publishing,T Ltd. Abstract: In the paper we introduce the notion of the Blaschke C*-algebra and we consider the isometric representations of uniform Blaschke algebra. We extend the Coburn’s Theorem for a ...

© 2019, Pleiades Publishing, Ltd. By the Toeplitz algebra we mean the reduced semigroup C*-algebra for the additive semigroup of non-negative integers. This article deals with inductive systems of Toeplitz algebras over ...

© 2020, PleiadesT Publishing,T Ltd. Abstract: We survey the research on the inductive systems of C*-algebras over arbitrary partially ordered sets. The motivation for our work comes from the theory of reduced semigroup ...

© 2018, Pleiades Publishing, Ltd. We consider linear normed spaces of measurable functions dominated by positive measurable function powered by real positive parameter. Also, we consider its dual and predual, and we propose ...