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Analiza. Del 5, Operatorji v končnorazsežnih prostorihOmladič, MatjažV delu so podani trije glavni rezultati. Prvi je nov dokaz zelo starega izreka Motzkina in Tausskyjeve, da je v končnih razsežnostih vsak par linearno neodvisnih operatorjev, ki generirata prostor ... operatorjev podobnih normalnim, komutativen in je zato ta prostor hkrati podoben prostoru normalnih matrik. Drugi predstavlja rešitev dolgo odprtega problema o točni oceni (navzgor) razdalje med unitarnima orbitama dveh normalnih operatorjev s pomočjo njune spektralne razdalje. Glavna vsebina tretjega pa je, da je razsežnost vsakega linearnega prostora nilpotentnih matrik nad ▫$n$▫-razsežnim prostorom kvečjem ▫$n(n-1)/2$▫ in da mora ta prostor v primeru, da je ta razsežnost dosežena, biti nujno triangularizabilen.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1989Language - english, slovenianCOBISS.SI-ID - 7615321
Author
Omladič, Matjaž
Other authors
Suhadolc, Anton, 1935- |
Radjavi, Heydar |
Hvala, Bojan
Topics
matematika |
matematična analiza |
funkcionalna analiza |
teorija operatorjev |
nilpotentni operatorji |
linearna algebra |
algebraična geometrija |
končne diference |
normalni operatorji |
invariantni podprostori |
triangulizabilnost |
diagonalizabilnost |
spektralna razdalja |
mathematics |
mathematical analysis |
functional analysis |
operator theory |
nilpotent operators |
linear algebra |
algebraic geometry |
finite differences |
normal operators |
invariant subspaces |
triangulizability |
diagonalizability |
spectral distance
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Omladič, Matjaž | 09573 |
Suhadolc, Anton, 1935- | 00204 |
Radjavi, Heydar | 01395 |
Hvala, Bojan | 06084 |
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