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Utah State University: DigitalCommons@USU
Article . 1971
License: PDM
Full-Text: https://digitalcommons.usu.edu/etd/6845
Data sources: Bielefeld Academic Search Engine (BASE)
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Other literature type . 1971
Data sources: DigitalCommons@USU
https://dx.doi.org/10.26076/49...
Other literature type . 1971
Data sources: Datacite
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Integral Representation Theorems

descriptionPublicationkeyboard_double_arrow_right Other literature type , Article 01 Jan 1971 United States Publisher:Utah State University
Authors: Hatta, Leiko;

doi: 10.26076/4983-35bb

Integral Representation Theorems

Abstract

Since F. Riesz showed in 1909 that the dual of C[0, 1] is BV[0, 1] (the functions of bounded variation on [0, 1] with II g IIBV = V(g)) via the Stieltjes integral, obtaining representations for linear operators in various settings has been a problem of interest. This paper shows the historical manner of representations, the road map type theorems and representations obtained via the v-integral. (44 pages)

Country
United States
Related Organizations
Keywords

linear operators, v-integral, Stieltjes integral, Mathematics

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popularity
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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
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