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Numerični zaklad elementa realne ali kompleksne enotske normirane algebre : magistrsko deloLampret, VitoNaloga obravnava teorijo numeričnega zaklada elamenta realne ali kompleksne enotske normirane algebre s poudarkom na kompleksnih oz. Banachovih enotskih algebrah in se dotakne tudi ... ▫$B^\ast$▫-algeber. Podane so osnovne lastnosti algebrskega numeričnega zaklada in numeričnega radija ter odnos med spektrom in numeričnim zakladom elementa kompleksne enotske Banachove algebre. Naloga obravnava še idempotentne elemente v zvezi z numeričnim zakladom ter poda definicije in osnovne lastnosti disipativnih, hermitskih, pozitivnih in normalnih elementov ter projektorjev (kompleksne) enotske normirane algebre. Zadnji del naloge pripravi skupaj z uvodnim poglavjem temelje Vidav-Palmerjevemu teoremu. Posebna pozornost je posvečena elementarnim dokazom in struktura naloge je taka, da omogoča razmeroma hiter elementaren pristop k temeljem na katerih slone trditve.Type of material - master's thesisPublication and manufacture - Ljubljana : [V. Lampret], 1979Language - slovenianCOBISS.SI-ID - 3649369
Author
Lampret, Vito
Other authors
Vidav, Ivan
Topics
matematika |
funkcionalna analiza |
asociativne algebre |
Banachove algebre |
▫$B^\ast$▫ algebre |
▫$C^\ast$▫ algebre |
involutivne algebre |
linearne algebre |
normirane algebre |
konveksne funkcije |
konveksne ogrinjače |
konveksne množice |
disipativni elementi |
hermitski elementi |
idempotentni elementi |
obrnljivi elementi |
normalni elementi |
pozitivni elementi |
projectorji |
enota |
ideali |
spektralni radij |
numerični radij |
Banachovi prostori |
Hilbertovi prostori |
vektorski prostori |
metrični prostori |
normirani prostori |
topološki prostori |
mathematics |
functional analysis |
associative algebra |
Banach algebras |
▫$B^\ast$▫ algebras |
▫$C^\ast$▫ algebras |
involutive algebras |
linear algebras |
normed algebras |
star algebras |
convex functions |
convex hulls |
convex sets |
dissipative elements |
hermitian elements |
idempotent elements |
invertible elements |
normal elements |
positive elements |
projectors |
unitary element |
ideals |
spectral radius |
numerical radius |
resolvent |
Banach spaces |
Hilbert spaces |
linear spaces |
linear topological spaces |
metric spaces |
normed spaces |
semiscalar spaces |
topological spaces
Library/institution |
City | Acronym | For loan | Other holdings |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
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DRS, in which the journal is indexed
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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Lampret, Vito | 02113 |
Vidav, Ivan | 00225 |
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