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Thesis . 2018
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Banachi ruumi Schuri omadus

descriptionPublicationkeyboard_double_arrow_right Thesis 01 Jan 2018 Estonia Estonian Publisher:Tartu
Authors: Virveste, Ingeborg;

handle: 10062/62183

Banachi ruumi Schuri omadus

Abstract

Bakalaureusetöös kirjutatakse detailselt lahti kaks tõestust klassikalisele I. Schuri teoreemile aastast 1921, mille kohaselt Banachi ruumis l1 on jadade nõrk koonduvus samaväärne nende normi järgi koonduvusega (teisisõnu, ruumil l1 on Schuri omadus). Esimene tõestus kasutab libiseva küüru meetodit ning teine toetub Baire’i teoreemile. Töö lõpetuseks veendutakse, et Banachi ruumidel c0 ja lp, kus 1 < p < , pole Schuri omadust.

Country
Estonia
Related Organizations
Keywords

Banachi ruum, nõrk koonduvus, Schuri omadus, Baire'i teoreem, libiseva küüru meetod

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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