On a simultaneous selection theorem

• Autorzy: Takamitsu Yamauchi
• Języki publikacji: EN

Abstrakty

EN

Valov proved a general version of Arvanitakis's simultaneous selection theorem which is a common generalization of both Michael's selection theorem and Dugundji's extension theorem. We show that Valov's theorem can be extended by applying an argument by means of Pettis integrals due to Repovš, Semenov and Shchepin.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 54C60: Set-valued maps
• 54C65: Selections
• 46G10: Vector-valued measures and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 215
• Numer: 1
• Strony: 1-9

Daty

wydano

2013

Twórcy

autor

Takamitsu Yamauchi

• Department of Mathematics, Shimane University, Matsue, 690-8504, Japan

Identyfikatory

DOI

10.4064/sm215-1-1