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Analiza. Del 3, Produkti hermitskih operatorjevHladnik, MilanVsak hermitski element ▫$h$▫ Banachove algebre ima funkcijski račun za algebro Fourierovih transformirank in v posebnem primeru za algebro Lip▫$_\alpha$▫ vseh Lipschitzovih funkcij z indeksom ... ▫$\alpha > 1/2$▫ na neki okolici spektra ▫$\sigma(h)$▫. Posledica tega računa je ocena ▫$\|e^{it\psi(h)}\| = O(|t|^\alpha)$▫ ▫$(|t| \to \infty)$▫, veljavna za ▫$\alpha > 1/2$▫ in za vse realne Lipschitzove funkcije ▫$\psi$▫. Ta ocena je uporabljena pri proučevanju kvazinilpotentnosti in algebraičnosti različnih polinomov komutirajočih hermitskih elementov.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1987Language - slovenianCOBISS.SI-ID - 8621145
Author
Hladnik, Milan
Other authors
Lešnjak, Gorazd |
Magajna, Bojan
Topics
matematika |
analiza |
teorija operatorjev |
Banachove algebre |
Fourierova transformacija |
Lipschitzove funkcije |
cele funkcije |
funkcijski račun |
rast eksponentne grupe |
hermitski elementi |
normalni elementi |
kvazinilpotenti |
algebraičnost |
konjugiranje |
mathematics |
analysis |
operator theory |
Banach algebras |
Fourier transform |
Lipschitz functions |
entire functions |
functional calculus |
exponential groups |
growth |
hermitian elements |
normal elements |
quasinilpotents |
algebraicity |
conjugation
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Database name | Field | Year |
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Hladnik, Milan | 03429 |
Lešnjak, Gorazd | 07082 |
Magajna, Bojan | 01470 |
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