A class of absolute retracts in spaces of integrable functions

Alberto Bressan; Arrigo Cellina; Andrzej Fryszkowski

doi:10.1090/S0002-9939-1991-1045587-8

A class of absolute retracts in spaces of integrable functions

Alberto Bressan
, Arrigo Cellina
, Andrzej Fryszkowski

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

50 Scopus citations

Abstract

We consider a class of subsets of L¹, that are shown to be absolute retracts, that contains at once decomposable sets and sets of solutions to Lipschitzean differential inclusions. In this way we generalize and unify a number of different previous results.

Original language	English (US)
Pages (from-to)	413-418
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	112
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1991-1045587-8
State	Published - Jun 1991

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1991-1045587-8

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abstract = "We consider a class of subsets of L1, that are shown to be absolute retracts, that contains at once decomposable sets and sets of solutions to Lipschitzean differential inclusions. In this way we generalize and unify a number of different previous results.",

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T1 - A class of absolute retracts in spaces of integrable functions

AU - Bressan, Alberto

AU - Cellina, Arrigo

AU - Fryszkowski, Andrzej

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N2 - We consider a class of subsets of L1, that are shown to be absolute retracts, that contains at once decomposable sets and sets of solutions to Lipschitzean differential inclusions. In this way we generalize and unify a number of different previous results.

AB - We consider a class of subsets of L1, that are shown to be absolute retracts, that contains at once decomposable sets and sets of solutions to Lipschitzean differential inclusions. In this way we generalize and unify a number of different previous results.

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A class of absolute retracts in spaces of integrable functions

Abstract

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