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Projects / Programmes source: ARIS

Preservers

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Research activity

Code Science Field Subfield
1.01.01  Natural sciences and mathematics  Mathematics  Analysis 

Code Science Field
P140  Natural sciences and mathematics  Series, Fourier analysis, functional analysis 
Keywords
linear preserver problem, non-linear preserver, matrix space
Evaluation (rules)
source: COBISS
Evaluation of bibliographic research performance indicators according to ARIS methodology
Citations Citations for bibliographic records in COBIB.SI that are linked to records in citation databases
source: WoS source: Scopus source: COBISS
Researchers (1)
no. Code Name and surname Research area Role Period No. of publications
1.  18750  PhD Gregor Dolinar  Mathematics  Head  2002 - 2004  216 
Organisations (1)
no. Code Research organisation City Registration number No. of publications
1.  0101  Institute of Mathematics, Physics and Mechanics  Ljubljana  5055598000  20,230 
Abstract
The main topic of our research project is the generalization of linear preserver problems to problems for preservers, which are not necessarily linear. We will try to find reasonable and as weak assumptions as possible, which will still assure similar characterization of preservers as in the linear case. First, we will try to generalize the Frobenius result about linear mappings, which leave the determinant invariant, to mappings which are not necessarily linear and preserve the determinant. Further on, we will work on the generalization of some other classical linear preserver problems, such as rank, spectrum, commutativity preservers... One of the primary aims of the research will be replacing the assumption of linearity with as weak and as unified assumptions as possible.
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