A decomposition theorem for compact-valued Henstock integral

Luisa Di Piazza; Kazimierz Musiał

A decomposition theorem for compact-valued Henstock integral

Luisa Di Piazza, Kazimierz Musiał

Matematica e Informatica

Risultato della ricerca: Article › peer review

28 Citazioni (Scopus)

Abstract

We prove that if X is a separable Banach space, then a measurable multifunction Γ : [0, 1] → ck(X) is Henstock integrable if and only if Γ can be represented as Γ = G + f, where G : [0, 1] → ck(X) is McShane integrable and f is a Henstock integrable selection of Γ

Lingua originale	English
pagine (da-a)	119-126
Numero di pagine	8
Rivista	MONATSHEFTE FÜR MATHEMATIK
Volume	148
Stato di pubblicazione	Published - 2006

All Science Journal Classification (ASJC) codes

Mathematics(all)

Accesso al documento

OA Link

Fingerprint Entra nei temi di ricerca di 'A decomposition theorem for compact-valued Henstock integral'. Insieme formano una fingerprint unica.

Cita questo

@article{659adbce859948cdac4ddbc595c7cf41,

title = "A decomposition theorem for compact-valued Henstock integral",

abstract = "We prove that if X is a separable Banach space, then a measurable multifunction Γ : [0, 1] → ck(X) is Henstock integrable if and only if Γ can be represented as Γ = G + f, where G : [0, 1] → ck(X) is McShane integrable and f is a Henstock integrable selection of Γ",

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

year = "2006",

language = "English",

volume = "148",

pages = "119--126",

journal = "Monatshefte fur Mathematik",

issn = "0026-9255",

publisher = "Springer-Verlag Wien",

}

TY - JOUR

T1 - A decomposition theorem for compact-valued Henstock integral

AU - Di Piazza, Luisa

AU - Musiał, Kazimierz

PY - 2006

Y1 - 2006

N2 - We prove that if X is a separable Banach space, then a measurable multifunction Γ : [0, 1] → ck(X) is Henstock integrable if and only if Γ can be represented as Γ = G + f, where G : [0, 1] → ck(X) is McShane integrable and f is a Henstock integrable selection of Γ

AB - We prove that if X is a separable Banach space, then a measurable multifunction Γ : [0, 1] → ck(X) is Henstock integrable if and only if Γ can be represented as Γ = G + f, where G : [0, 1] → ck(X) is McShane integrable and f is a Henstock integrable selection of Γ

UR - http://hdl.handle.net/10447/6758

M3 - Article

VL - 148

SP - 119

EP - 126

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

SN - 0026-9255

ER -