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

???subjectarea.asjc.2600.2600???

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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",

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AU - Musiał, Kazimierz

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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

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EP - 126

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

SN - 0026-9255

ER -

A decomposition theorem for compact-valued Henstock integral

Abstract

All Science Journal Classification (ASJC) codes

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