19 citations · 33 across the 6 of their papers we have counts for
7 papers · 1 filter
Stereotype Dualities in Geometry
S. S. Akbarov
This book contains the material of my research on stereotype duality theories in geometry. It was intended as a continuation of my recently published monograph in De Gruyter on ste…
Holomorphic duality for countable discrete groups
S. S. Akbarov
In 2008, the author proposed a version of duality theory for (not necessarily, Abelian) complex Lie groups, based on the idea of using the Arens-Michael envelope of topological alg…
On tensor fractions and tensor products in the category of stereotype spaces
S. S. Akbarov
We prove two identities that connect some natural tensor products in the category of locally convex spaces with the tensor products in the category of stereot…
Kernel and cokernel in the category of augmented involutive stereotype algebras
S. S. Akbarov
We prove several properties of kernels and cokernels in the category of augmented involutive stereotype algebras: 1) the morphisms of the augmented involutive stereotype algebras h…
Continuous and smooth envelopes of topological algebras
S. S. Akbarov
Since the time when the first optical instruments have been invented, an idea that the visible image of an object under observation depends on tools of observation became commonly…
Envelopes and refinements in categories, with applications to Functional Analysis
Sergei Akbarov
An envelope in a category is a construction that generalizes the operations of "exterior completion", like completion of a locally convex space, or Stone-Čech compactification of a…
Holomorphic Functions of Exponential Type and Duality for Stein Groups with Algebraic Connected Component of Identity
S. S. Akbarov
We suggest a generalization of Pontryagin duality from the category of commutative Stein groups to the category of (not necessarily commutative) Stein groups with algebraic connect…