2 citations · 2 across the 8 of their papers we have counts for
8 papers
Homological framework of noncommutative complex analytic geometry and functional calculus
Anar Dosi
In the paper we propose topological homology framework of noncommutative complex analytic geometries of Fréchet algebras, and investigate the related functional calculus and spectr…
Noncommutative localizations of a contractive quantum plane
Anar Dosi
In the present paper we investigate the localizations in the sense of J. L. Taylor of the Arens-Michael-Fréchet algebras associated with noncommutative analytic spaces of a contrac…
Taylor spectrum of a Banach module over the quantum plane
Anar Dosi
In the paper we investigate the joint spectra of Banach space representations of the quantum q-plane called Banach q-modules. Based on the transversality relation from the topologi…
Noncommutative complex analytic geometry of a contractive quantum plane
Anar Dosi
In the paper we investigate the Banach space representations of Manin's quantum q-plane for |q| is not 1. The Arens-Michael envelope of the quantum plane is extended up to a Freche…
Projective positivity of the function systems
Anar Dosi
The present paper is devoted to the projective positivity in the category of function systems, which plays a key role in the quantization problems of the operator systems. The main…
Deformation quantization of projective schemes and differential operators
Anar Dosi
The paper is devoted to noncommutative projective schemes within Kapranov's framework of noncommutative algebraic geometry. We classify all noncommutative projective schemes obtain…
Algebraic spectral theory and Serre multiplicity formula
Anar Dosi
The present paper is devoted to an algebraic treatment of the joint spectral theory within the framework of Noetherian modules over an algebra finite extension of an algebraically…
Separable morphisms of operator Hilbert systems, Pietsch factorizations and entanglement breaking maps
Anar Dosi
In this paper we investigate operator Hilbert systems and their separable morphisms. We prove that the operator Hilbert space of Pisier is an operator system, which possesses the s…