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Thesis . 2016
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Jälg ja päranduv aproksimatsiooniomadus Banachi ruumides

descriptionPublicationkeyboard_double_arrow_right Thesis 01 Jan 2016 Estonia Estonian Publisher:Tartu Ülikool
Authors: Veeorg, Janno;

handle: 10062/53802

Jälg ja päranduv aproksimatsiooniomadus Banachi ruumides

Abstract

Bakalaureusetöös vaadeldakse Banachi ruumis tuumaoperaatoril defineeritud jälge. Töös uuritakse, millistes Banachi ruumides on iga summeeruvate omaväärtustega tuumaoperaatori jälg võrdne tema omaväärtuste summaga. Tuuakse näide sellisest Banachi ruumist, kus see tingimus on täidetud, aga mis ei ole Hilberti ruum. Lisaks näidatakse, et sellistel ruumidel on päranduv aproksimatsiooniomadus. Töö põhineb peamiselt W. B. Johnsoni ja A. Szankowski artiklil The trace formula in Banach spaces (Israel J. Math. 203, 2014).

Country
Estonia
Related Organizations
Keywords

tuumaoperaator, Banach–Mazuri kaugus, aproksimatsiooniomadus, bakalaureusetöö, jälg

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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
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