4 citations · 5 across the 8 of their papers we have counts for
9 papers
Free and projective generalized multinormed spaces
A. Ya. Helemskii, T. Oikhberg
The paper investigates free and projective -spaces, where is a given normed space. These spaces form a far-reaching generalization of known -multinormed space…
The existence of -convex tensor products of -spaces for the case of an arbitrary measure
A. Ya. Helemskii
We obtain a far-reaching generalization (in several directions) of the theorem of A. Lambert on the existence of the projective tensor product of operator sequence spaces. This res…
Projective and free matricially normed spaces
A. Ya. Helemskii
We study metrically projective and metrically free matricially normed spaces. We describe these spaces in terms of a special space , the space of matrices…
Structures on the way from classical to quantum spaces and their tensor products
A. Ya. Helemskii
We study tensor products of two structures situated, in a sense, between normed spaces and (abstract) operator spaces. We call them Lambert and proto-Lambert spaces and pay more at…
Projective tensor product of protoquantum spaces
A. Ya. Helemskii
A proto-quantum space is a (general) matricially normed space in the sense of Effros and Ruan presented in a `matrix-free' language. We show that these spaces have a special (proje…
Projective quantum modules and projective ideals of C*-algebras
A. Ya. Helemskii
We introduce in non-coordinate presentation the notions of a quantum algebra and of a quantum module over such an algebra. Then we give the definition of a projective quantum modul…