ON THE QUESTION OF THE EXISTENCE OF CONTINUOUS BRANCHES OF MULTIVALUED MAPPINGS WITH NONCONVEX IMAGES IN SPACES OF SUMMABLE FUNCTIONS

DOI10.1070/SM1989V064N01ABEH003308zbMath0711.46025OpenAlexW2026615343MaRDI QIDQ3496771

Aleksander Bulgakov

Publication date: 1989

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1989v064n01abeh003308

zbMATH Keywords

existence of continuous selectionsBanach space of all Bochner integrable functions from a compact space

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Set-valued operators (47H04) Selections in general topology (54C65)

Related Items (2)

Shift dynamical systems and measurable selectors of multivalued maps ⋮ Controlled differential equations with a parameter and with multivalued impulses

This page was built for publication: ON THE QUESTION OF THE EXISTENCE OF CONTINUOUS BRANCHES OF MULTIVALUED MAPPINGS WITH NONCONVEX IMAGES IN SPACES OF SUMMABLE FUNCTIONS