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Analiza. Del 7, Totalno pozitivni operatorjiOmladič, MatjažGantmacher in Krein sta vpeljala pojem totalno pozitivnih operatorjev za matrike in integralske operatorje z zveznim jedrom s pomočjo determinant. Tako sta uspela razložiti dejstvo, da ima ... integralski operator z Greenovo funkcijo prirejeno Sturm-Liouvillovemu problemu pod dokaj splošnimi pogoji vse lastne vrednosti strogo pozitivne, pripadajoče lastne vektorje pa realne, s številom sprememb predznakov, ki naraščajo za po enega, ničle pa se prepletajo. Kasneje je totalna pozitivnost dobila še celo vrsto aplikacij, teorija pa je napredovala predvsem na nivoju matrik. V tem delu je podana kompleksnejša obravnava celotnega problema preko teorije poševnosimetričnih tenzorskih produktov Banachovih mrež.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1988Language - english, slovenianCOBISS.SI-ID - 7617369
Author
Omladič, Matjaž
Other authors
Radjavi, Heydar |
Suhadolc, Anton, 1935-
Topics
matematika |
matematična analiza |
funkcionalna teorija |
teorija operatorjev |
multilinearna algebra |
diferencialne enačbe |
integralske enačbe |
funkcionalna analiza |
operatorska teorija |
Banachove mreže |
tenzorski produkti |
poševnosimetrični tenzorji |
totalna pozitivnost |
spremembe znakov |
Sturm-Liouvillov problem |
Greenova funkcija |
mathematics |
multilinear algebra |
diferencial equations |
integral equations |
functional analysis |
operator theory |
Banach lattices |
tensor product |
skew-symmetric tensors |
total positivity |
variations of signs |
Sturm-Liouville problem |
Green function
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FMF, Mathematical Library, Lj. | Skladišče-Jadranska 19 10920/204 |
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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 |
Radjavi, Heydar | 01395 |
Suhadolc, Anton, 1935- | 00204 |
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