4 citations · 4 across the 5 of their papers we have counts for
6 papers
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…
Extreme flatness of normed modules and Arveson-Wittstock type theorems
A. Ya. Helemskii
We show in this paper that a certain class of normed modules over the algebra of all bounded operators on a Hilbert space possesses a homological property which is a kind of a func…
Tensor Products in Quantum Functional Analysis: the Non-Matricial Approach
A. Ya. Helemskii
As is known, there exists an alternative, "non-matricial" way to present basic notions and results of quantum functional analysis (= operator space theory). This approach is based…