Set valued integrability in non separable Fréchet spaces and applications

DOI10.1515/ms-2016-0209zbMath1399.28018arXiv1507.07349OpenAlexW2963157257MaRDI QIDQ2958863

Valeria Marraffa, Bianca-Renata Satco, Luisa Di Piazza

Publication date: 3 February 2017

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07349

zbMATH Keywords

measurable multifunctionVolterra inclusionintegrable multifunctionnon-separable Fréchet space

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20)

Related Items

Bilateral set-valued stochastic integral equations, Gauge integrals and selections of weakly compact valued multifunctions, Closure properties for integral problems driven by regulated functions via convergence results, Relaxation result for differential inclusions with Stieltjes derivative, Relaxation theorem for Stieltjes differential inclusions on infinite intervals, Multi-integrals of finite variation, A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability, An extension of the Birkhoff integrability for multifunctions, A special class of fuzzy measures: Choquet integral and applications

Cites Work

• The Hausdorff metric and measurable selections
• Extended Bochner measurable selectors
• The largest class of closed convex valued multifunctions for which Effros measurability and scalar measurability coincide
• Pettis integration in locally convex spaces
• The finitely additive integral of multifunctions with closed and convex values
• A Leray-Schauder alternative for Mönch maps on closed subsets of Fréchet spaces
• Existence results for functional semilinear differential inclusions in Fréchet spaces
• Set-valued Kurzweil-Henstock-Pettis integral
• On the Pettis integral of closed valued multifunctions