13 citations · 15 across the 5 of their papers we have counts for
5 papers
A low-rank approximation of tensors and the topological group structure of invertible matrices
R. N. Gumerov, A. S. Sharafutdinov
By a tensor we mean an element of a tensor product of vector spaces over a field. Up to a choice of bases in factors of tensor products, every tensor may be coordinatized, that is,…
On a topology and limits for inductive systems of -algebras over partially ordered sets
Renat Gumerov, Ekaterina Lipacheva, Tamara Grigoryan
Motivated by algebraic quantum field theory and our previous work we study properties of inductive systems of \ -algebras over arbitrary partially ordered sets. A partially or…
On matrices with simple spectra arising from tensor products
R. N. Gumerov, S. I. Vidunov
This note deals with a simultaneous approximation of several matrices by a finite family of diagonalizable matrices satisfying an additional condition for the spectrum of a matrix…
On the structure of finite-sheeted coverings of compact connected groups
S. A. Grigorian, R. N. Gumerov
Finite-sheeted covering mappings onto compact connected groups are studied. It is shown that a finite-sheeted covering mapping from a connected Hausdorff topological space onto a c…
On finite-sheeted covering mappings onto solenoids
R. N. Gumerov
We study limit mappings from a solenoid onto itself. It is shown that each equivalence class of finite-sheeted covering mappings from connected topological spaces onto a solenoid i…