2 papers
math.RA2023
A conjecture concerning *-algebras that unifies some matrix decompositions
Ran Gutin
In this note, we propose a simple-looking but broad conjecture about star-algebras over the field of real numbers. The conjecture enables many matrix decompositions to be represent…
math.RA2021
Towards a Singular Value Decomposition and spectral theory for all rings
Ran Gutin
We propose definitions of SVD, spectral decomposition (for self-adjoint matrices) and Jordan decomposition which make sense for all rings. For many rings, these decompositions can…