A first return examination of vector valued integrals.

Donatella Bongiorno; Donatella Bongiorno

A first return examination of vector valued integrals.

Donatella Bongiorno, Donatella Bongiorno

Risultato della ricerca: Other

Abstract

We prove that for each Bochner integrable function f there exists atrajectory yielding the Bochner integral of f, and that on infinite dimensionalBanach spaces there exist Pettis integrable functions f such that no trajectoryyields the Pettis integral of f.

Lingua originale	English
Pagine	89-97
Numero di pagine	384
Stato di pubblicazione	Published - 2009

All Science Journal Classification (ASJC) codes

???subjectarea.asjc.2600.2603???

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title = "A first return examination of vector valued integrals.",

abstract = "We prove that for each Bochner integrable function f there exists atrajectory yielding the Bochner integral of f, and that on infinite dimensionalBanach spaces there exist Pettis integrable functions f such that no trajectoryyields the Pettis integral of f.",

keywords = "Bochner integral, McShane integral., Pettis integral, Trajectory, first return integral, Bochner integral, McShane integral., Pettis integral, Trajectory, first return integral",

author = "Donatella Bongiorno and Donatella Bongiorno",

year = "2009",

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AU - Bongiorno, Donatella

PY - 2009

Y1 - 2009

N2 - We prove that for each Bochner integrable function f there exists atrajectory yielding the Bochner integral of f, and that on infinite dimensionalBanach spaces there exist Pettis integrable functions f such that no trajectoryyields the Pettis integral of f.

AB - We prove that for each Bochner integrable function f there exists atrajectory yielding the Bochner integral of f, and that on infinite dimensionalBanach spaces there exist Pettis integrable functions f such that no trajectoryyields the Pettis integral of f.

KW - Bochner integral

KW - McShane integral.

KW - Pettis integral

KW - Trajectory

KW - first return integral

KW - Bochner integral

KW - McShane integral.

KW - Pettis integral

KW - Trajectory

KW - first return integral

UR - http://hdl.handle.net/10447/47029

M3 - Other

SP - 89

EP - 97

ER -

A first return examination of vector valued integrals.

Abstract

All Science Journal Classification (ASJC) codes

Altri file e collegamenti

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