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Projects / Programmes source: ARIS

Algebraične metode v teoriji operatorjev (Slovene)

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Periods
January 1, 1999 - December 31, 2003
Research activity

Code Science Field Subfield
1.01.00  Natural sciences and mathematics  Mathematics   

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 
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 (26)
no. Code Name and surname Research area Role Period No. of publications
1.  12040  PhD Janez Bernik  Mathematics  Researcher  2001 - 2003  0 
2.  19511  PhD Janko Bračič  Mathematics  Researcher  2001 - 2003  0 
3.  19250  PhD Anita Buckley  Mathematics  Researcher  2001 - 2003  0 
4.  13430  PhD Gregor Cigler  Mathematics  Researcher  2001 - 2003  0 
5.  15127  PhD Jakob Cimprič  Mathematics  Researcher  2001 - 2003  0 
6.  20267  PhD Karin Cvetko Vah  Mathematics  Researcher  2001 - 2003  0 
7.  05478  PhD Mirko Dobovišek  Mathematics  Researcher  2001 - 2003  0 
8.  16331  PhD David Dolžan  Mathematics  Researcher  2001 - 2003  0 
9.  11709  PhD Roman Drnovšek  Mathematics  Researcher  2001 - 2003  0 
10.  03429  PhD Milan Hladnik  Mathematics  Researcher  2001 - 2003  0 
11.  20269  PhD Iztok Kavkler  Mathematics  Researcher  2001 - 2003  0 
12.  22353  PhD Igor Klep  Mathematics  Researcher  2002 - 2003  0 
13.  12190  PhD Damjana Kokol Bukovšek  Mathematics  Researcher  2001 - 2003  0 
14.  16085  MSc Matej Kolar  Mathematics  Researcher  2001 - 2003  0 
15.  22401  PhD Matjaž Konvalinka  Mathematics  Researcher  2002 - 2003  0 
16.  08398  PhD Tomaž Košir  Mathematics  Researcher  2001 - 2003  0 
17.  05484  PhD Edvard Kramar  Mathematics  Researcher  2001 - 2003  0 
18.  20037  PhD Marjeta Kramar Fijavž  Mathematics  Researcher  2001 - 2003  0 
19.  18893  PhD Bojan Kuzma  Mathematics  Researcher  2001 - 2003  0 
20.  07082  PhD Gorazd Lešnjak  Mathematics  Researcher  2001 - 2003  0 
21.  19361  PhD Mitja Mastnak  Mathematics  Researcher  2001 - 2003  0 
22.  20268  PhD Primož Moravec  Mathematics  Researcher  2001 - 2003  0 
23.  09573  PhD Matjaž Omladič  Mathematics  Head  2001 - 2003  0 
24.  20384  PhD Helena Šmigoc  Mathematics  Researcher  2001 - 2003  0 
25.  12191  PhD Aleksej Turnšek  Mathematics  Researcher  2001 - 2003  0 
26.  16201  PhD Bojana Zalar  Mathematics  Researcher  2001 - 2003  0 
Organisations (1)
no. Code Research organisation City Registration number No. of publications
1.  0101  Institute of Mathematics, Physics and Mechanics  Ljubljana  5055598000  1 
Abstract
In the research we will consider the following topics: ? linear operators on real and complex Banach and Hilbert spaces and on Banach lattices, ? special classes of linear operators: compact, quasinilpotent, those similar to normal operators, and contractions, ? families of linear operators with some additional algebraic structure such as semigroups, groups, vector spaces, and Lie algebras, ? problems of joint invariant subspaces of families of linear operators, ? structure of maximal families of linear operators with some additional properties, ? possible generalizations ob new results to finite dimensional vector spaces over arbitrary fields. These problems are motivated by some classical results from the beginning of the century proved by Engel, Levitzki, Motzkin, Taussky and others. The starting points for the current research are results obtained by H. Radjavi, the principal investigator and other members of the group. Significance of the research program for the science in general: Possible results are of importance in the development of operator theory. Previous results of the research group were noted in the research of other foreign pure mathematicians. We expect that new results will have similar influence. We will continue our cooperation with a number of foreign mathematicians. We plan to expand cooperation and help our younger researchers to find international contacts. Significance of the research program for Slovenia: The proposed research program will help in development of algebra and operator theory in Slovenia. We expect to further the respectability for Slovenian mathematical school. The program continues the research commenced by internationally recognized mathematicians Plemelj and Vidav. It is also important for the development of current and future generations of young researchers. Visiting foreign researchers provide a direct contact for younger researchers with the current development of mathematics.
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