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

Luisa Di Piazza

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

Matematica e Informatica

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	169-180
Number of pages	12
Journal	FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI
Volume	50
Publication status	Published - 2014

Access to Document

OA Link

Fingerprint Dive into the research topics of 'Differentiation of an additive interval measure with values in a conjugate Banach space'. Together they form a unique fingerprint.

Cite this

@article{12d09a19b7c046c0b9f26646e8545e52,

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",

year = "2014",

language = "English",

volume = "50",

pages = "169--180",

journal = "Functiones et Approximatio, Commentarii Mathematici",

issn = "0208-6573",

publisher = "Adam Mickiewicz University Press",

}

TY - JOUR

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

AU - Di Piazza, Luisa

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

VL - 50

SP - 169

EP - 180

JO - Functiones et Approximatio, Commentarii Mathematici

JF - Functiones et Approximatio, Commentarii Mathematici

SN - 0208-6573

ER -