Weaker forms of continuity and vector-valued Riemann integration

• Autorzy: M. A. Sofi
• Języki publikacji: EN

Abstrakty

EN

It was proved by Kadets that a weak*-continuous function on [0,1] taking values in the dual of a Banach space X is Riemann-integrable precisely when X is finite-dimensional. In this note, we prove a Fréchet-space analogue of this result by showing that the Riemann integrability holds exactly when the underlying Fréchet space is Montel.

Kategorie tematyczne

• 46G12: Measures and integration on abstract linear spaces
• 46G10: Vector-valued measures and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 129
• Numer: 1
• Strony: 1-6

Daty

wydano

2012

Twórcy

autor

M. A. Sofi

• Department of Mathematics, Kashmir University, Hazratbal, Srinagar - 190 006 J & K, India

Identyfikatory

DOI

10.4064/cm129-1-1