Projects / Programmes
| Code |
Science |
Field |
Subfield |
| 1.01.01 |
Natural sciences and mathematics |
Mathematics |
Analysis |
| Code |
Science |
Field |
| P001 |
Natural sciences and mathematics |
Mathematics |
| 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, function identities, preservers, derivation, automorphism, geometry of matrices
Researchers (11)
Organisations (1)
Abstract
Within this research project we will continue our research on maps on operator and matrix algebras and their subsets. We will deal with linear preservers and nonlinear preservers, with maps on idempotents preserving various relations like orthogonality and natural partial order. We will also study geometry of matrices. Another goal of our research is to improve certain results from the theory of functional identities, and to find further applications of this theory concerning maps on operator and matrix algebras. In our research we will combine linear algebra and operator theory methods with methods from geometry and ring theory.
Significance for science
The research results of the project group are among the most important in the theory of linear and general preservers and are therefore frequently cited. On one hand, some of the results give the answers to classical difficult questions from the research area of the project group (mapping preserving adjacency, multiplicative mappings), while on the other hand they create new directions for the development of the theory (generalizations of the results about linear preservers to general not necessary linear preservers).
Significance for the country
The research project J1-9638 is in the area of pure mathematics, therefore the results of the research do not have a direct impact on the development of Slovenia. However, the wide response to the results (the number of citations) contribute significantly to recognition and reputation of Slovenia.
Most important scientific results
Annual report
2008,
final report,
complete report on dLib.si
Most important socioeconomically and culturally relevant results
Annual report
2008,
final report,
complete report on dLib.si
