Grigoryan, T. A. Kuznetsova, A. Yu.
Published in
Lobachevskii Journal of Mathematics

AbstractIn the paper we introduce the notion of the Blaschke \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^{*}$$\end{document}-algebra and we consider the isometric...

Gumerov, R. N. Lipacheva, E. V.
Published in
Lobachevskii Journal of Mathematics

AbstractWe survey the research on the inductive systems of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^{*}$$\end{document}-algebras over arbitrary partially order...

Gumerov, R. N.
Published in
Lobachevskii Journal of Mathematics

AbstractThe note is concerned with inductive sequences of Toeplitz algebras. The Toeplitz algebra is the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^{*}$$\end{doc...

Lipacheva, E. V.
Published in
Lobachevskii Journal of Mathematics

The note is concerned with inductive systems of Toeplitz algebras and their *-homomorphisms over arbitrary partially ordered sets. The Toeplitz algebra is the reduced semigroup C*-algebra for the additive semigroup of non-negative integers. It is known that every partially ordered set can be represented as the union of the family of its maximal upw...

Gumerov, R. N.
Published in
Lobachevskii Journal of Mathematics

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 arbitrary directed sets. For such a system the family of its connecting injective *-homomorphisms is defined by a set of natural numbers satisfying a factorization ...

Pavlov, O. I.
Published in
Mathematical Notes

It is shown that, under the assumption of the continuum hypothesis, the normality of all finite powers of a topological space does not imply the normality of its free topological group.

Eskandarian, Zohreh
Published in
Lobachevskii Journal of Mathematics

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 a method for constructing a limit spaces of these functional spaces taken by power parameter. We prove that these limit spaces are (LF)-spaces and also prove th...

Gumerov, R. N.
Published in
Siberian Mathematical Journal

We consider inductive sequences of Toeplitz algebras whose connecting homomorphisms are defined by collections of primes. The inductive limits of these sequences are C*-algebras generated by representations for semigroups of rationals. We study the limit endomorphisms of these C*-algebras induced by morphisms between copies of the same inductive se...

Novikov, A. A. Eskandarian, Z.
Published in
Russian Mathematics

We prove that a measurable function f is bounded and invertible if and only if there exist at least two equivalent norms by order unit spaces with order unities fα and fβ with α > β > 0. We show that it is natural to understand the limit of ordered vector spaces with order unities fα (α approaches to infinity) as a direct sum of one inductive and o...

Orlov, I. V.
Published in
Cybernetics and Systems Analysis