On differentiability of mappings of finite-dimensional domains into Banach spaces

• Datum: 1999
• Hauptverfasser: Bondar, A. V., Бондар, А. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4578
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The well-known Stepanov criterion of the differentiability (approximate differentiability) of real functions is generalized to mappings of subsets of $R^n$ n into Banach spaces satisfying the Rieffel sharpness condition, in particular, reflexive Banach spaces. For Banach spaces that do not satisfy t...