3 papers
math.FA2024
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…
math.FA2024
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…
math.OA2023
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…