Differentiation of an additive interval measure with values in a conjugate Banach space

Luisa Di Piazza; Kazimierz Musiał

Differentiation of an additive interval measure with values in a conjugate Banach space

Luisa Di Piazza, Kazimierz Musiał

Matematica e Informatica

Risultato della ricerca: Article › peer review

1 Citazioni (Scopus)

Abstract

We present a complete characterization of finitely additive interval measures with values in conjugate Banach spaces which can be represented as Henstock-Kurzweil-Gelfand integrals. If the range space has the weak Radon-Nikodym property (WRNP), then we precisely describe when these integrals are in fact Henstock-Kurzweil-Pettis integrals.

Lingua originale	English
pagine (da-a)	169-180
Numero di pagine	12
Rivista	FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI
Volume	50
Stato di pubblicazione	Published - 2014

All Science Journal Classification (ASJC) codes

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title = "Differentiation of an additive interval measure with values in a conjugate Banach space",

abstract = "We present a complete characterization of finitely additive interval measures with values in conjugate Banach spaces which can be represented as Henstock-Kurzweil-Gelfand integrals. If the range space has the weak Radon-Nikodym property (WRNP), then we precisely describe when these integrals are in fact Henstock-Kurzweil-Pettis integrals.",

keywords = "Kurzweil--Henstock integral, Pettis integral, variational measure., Kurzweil--Henstock integral, Pettis integral, variational measure.",

author = "{Di Piazza}, Luisa and Kazimierz Musia{\l}",

year = "2014",

language = "English",

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journal = "Functiones et Approximatio, Commentarii Mathematici",

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T1 - Differentiation of an additive interval measure with values in a conjugate Banach space

AU - Di Piazza, Luisa

AU - Musiał, Kazimierz

PY - 2014

Y1 - 2014

N2 - We present a complete characterization of finitely additive interval measures with values in conjugate Banach spaces which can be represented as Henstock-Kurzweil-Gelfand integrals. If the range space has the weak Radon-Nikodym property (WRNP), then we precisely describe when these integrals are in fact Henstock-Kurzweil-Pettis integrals.

AB - We present a complete characterization of finitely additive interval measures with values in conjugate Banach spaces which can be represented as Henstock-Kurzweil-Gelfand integrals. If the range space has the weak Radon-Nikodym property (WRNP), then we precisely describe when these integrals are in fact Henstock-Kurzweil-Pettis integrals.

KW - Kurzweil--Henstock integral

KW - Pettis integral

KW - variational measure.

KW - Kurzweil--Henstock integral

KW - Pettis integral

KW - variational measure.

UR - http://hdl.handle.net/10447/93967

M3 - Article

SN - 0208-6573

VL - 50

SP - 169

EP - 180

JO - Functiones et Approximatio, Commentarii Mathematici

JF - Functiones et Approximatio, Commentarii Mathematici

ER -

Differentiation of an additive interval measure with values in a conjugate Banach space

Abstract

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