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Metrični prostoriVrabec, Jože, 1940-V knjigi je razvita osnovna teorija metričnih prostorov s stališča matematične analize. Obravnavani so tile pojmi: metrike in norme, krogle, okolice, ekvivalenca metrik; zveznost in enakomerna ... zveznost, izometrije; konvergenca; notranjost, zaprtje in meja podmnožice metričnega prostora, odprte in zaprte podmnožice, goste podmnožice; kompaktnost; polnost in napolnitev; prostori funkcij in preslikav. Precej pozornosti je posvečene normiranim in (manj) unitarnim vektorskim prostorom.Type of material - textbookPublication and manufacture - Ljubljana : Društvo matematikov, fizikov in astronomov Slovenije, 1990Language - slovenianISBN - 961-212-007-2COBISS.SI-ID - 19189760
Author
Vrabec, Jože, 1940-
Other authors
Štalec, Miha
Topics
matematika |
topologija |
funkcionalna analiza |
metrični prostori |
normirani prostori |
unitarni prostori |
kompaktni prostori |
polni prostor |
Banachovi prostori |
Hilbertovi prostori |
mathematics |
topology |
functional analysis |
metric spaces |
normed spaces |
unitary spaces |
discrete spaces |
compact spaces |
complete spaces |
Banach spaces |
Hilbert spaces |
completion |
normed algebras |
Banach algebras |
bounded subsets |
open subsets |
closed subsets |
dense subsets |
nowhere dense subsets |
residual subsets |
interior |
closure |
frontier |
continuous mappings |
uniformly continuous mappings |
Lipschitz mappings |
continuous linear mappings |
smooth mappings |
isometres |
rigid motions |
convergent sequences |
Cauchy sequences |
limits |
cluster points |
series |
Mazur-Ulam theorem |
Arzelà-Ascoli theorem |
Baire theorem |
Tietze theorem |
Weierstrass theorem |
Stone-Weierstrass theorem |
Lebesgue covering lemma |
Banach contraction principle |
Urysohn lemma |
partition of unity |
arc lenght |
rectifiable curves
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Knjižnica-MAT Osnove analize 1 0000004286/0000000031 0000000004 Knjižnica-MAT Osnove analize 1 4286/31 4 |
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Knjižnica-MAT Osnove analize 1 0000004286/0000000031 Knjižnica-MAT Osnove analize 1 4286/31 |
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Database name | Field | Year |
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Vrabec, Jože, 1940- | 00724 |
Štalec, Miha |
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