5 citations · 9 across the 14 of their papers we have counts for
19 papers
Nonformal deformations of the algebras of holomorphic functions on the polydisk and on the ball in
Alexei Yu. Pirkovskii
We construct Fréchet -algebras and which may be interpreted as nonfo…
Dense quasi-free subalgebras of the Toeplitz algebra
A. Yu. Pirkovskii
We introduce a family of dense subalgebras of the Toeplitz algebra and give conditions under which our algebras are quasi-free. As a corollary, we show that the smooth Toeplitz alg…
A note on relative homological epimorphisms of topological algebras
A. Yu. Pirkovskii
We give several characterizations of relative homological epimorphisms in the setting of locally convex topological algebras, thereby correcting a gap in our earlier paper [Trans.…
Topological amenability and Köthe co-echelon algebras
Alexei Yu. Pirkovskii, Krzysztof Piszczek
We introduce a notion of a topologically flat locally convex module, which extends the notion of a flat Banach module and which is well adapted to the nonmetrizable setting (and es…
Open embeddings and pseudoflat epimorphisms
Oleg Aristov, A. Yu. Pirkovskii
We characterize open embeddings of Stein spaces and of -manifolds in terms of certain flatness-type conditions on the respective homomorphisms of function algebras.
Holomorphic functions on the quantum polydisk and on the quantum ball
A. Yu. Pirkovskii
We introduce and study noncommutative (or ``quantized'') versions of the algebras of holomorphic functions on the polydisk and on the ball in . Specifically, for each…