arXiv subjects

Nikolay P. Ivankov

Publications and source records attributed to Nikolay P. Ivankov.

4 recordsLinked to original sources

arXiv2011

Completely Bounded Characterization of Operator Algebras with Involution

In this paper we study the completely bounded anti-isomorphisms on operator algebras, that work similarly to the involutions with the exception for the property of being completely isometric. We elaborate the Blecher's characterization theorem for operator algebras to make it applicable to the so-called operator $K$-algebras with completely bounded reflexive anti-isomorphism. We also establish a connection of this result with the notion of smooth $C^*$-modules, that play an important role in Mesland's approach to Baaj-Julg picture of $KK$-theory.

math.OA↗

arXiv2011

Noncommutative Fréchet Spaces and Unbounded Bivariant K-Theory

In this paper we introduce an abstract approach to higher order smooth systems on $C^*$-algebras in contest of Baaj-Julg picture of $\KK$-theory.

math.KT↗

arXiv2007

The framework for simulation of dynamics of mechanical aggregates

A framework for simulation of dynamics of mechanical aggregates has been developed. This framework enables us to build model of aggregate from models of its parts. Framework is a part of universal framework for science and engineering.

cs.CE↗

arXiv2006

The virtual reality framework for engineering objects

A framework for virtual reality of engineering objects has been developed. This framework may simulate different equipment related to virtual reality. Framework supports 6D dynamics, ordinary differential equations, finite formulas, vector and matrix operations. The framework also supports embedding of external software.

cs.CE↗