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Decomposability in the space of HKP ‐integrable functions
Author(s) -
Porcello Giovanni
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300107
Subject(s) - integrable system , mathematics , locally integrable function , space (punctuation) , pure mathematics , algebra over a field , computer science , operating system
In this paper we introduce the notion of decomposability in the space of Henstock‐Kurzweil‐Pettis integrable (for short HKP ‐integrable) functions. We show representations theorems for decomposable sets of HKP ‐integrable or Henstock integrable functions, in terms of the family of selections of suitable multifunctions.