Projects / Programmes
Code |
Science |
Field |
Subfield |
1.01.00 |
Natural sciences and mathematics |
Mathematics |
|
Code |
Science |
Field |
P140 |
Natural sciences and mathematics |
Series, Fourier analysis, functional analysis |
P120 |
Natural sciences and mathematics |
Number theory, field theory, algebraic geometry, algebra, group theory |
operator, operator algebra, algebra, ring, Banach algebra, Lie algera, Jordan algebra, fnuction identities, preservers, derivation, automorphism
Researchers (16)
Organisations (1)
Abstract
The main topics of our research project are different mappings on rings and algebras. We will try to solve problems from functional analysis and operator theory considering derivations, automorphisms, elementary operators and similar mappings mostly with algebraical tools from geometry and theory of function identities. Some recent results from the projective and affine geometry are very useful when we study nonlinear mappings on matrix and operator spaces and sets. It seems like the last main problems of the theory of function identities will be solved in forthcoming years and it is also one of the aims of the research project to contribute a significant part to this task.