SOME COMMENTS ON SCALAR DIFFERENTIATION OF VECTOR-VALUED FUNCTIONS

DOI10.1017/S0004972714000823zbMath1326.46038MaRDI QIDQ5245718

K. M. Naralenkov

Publication date: 14 April 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

weak Radon-Nikodým propertyscalar derivativeapproximate scalar derivativestrong bounded variation

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (2)

Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems ⋮ On the integration of Riemann-measurable vector-valued functions

Cites Work

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• Martingales valued in certain subspaces of \(L^1\)
• Nowhere differentiable Lipschitz maps and the Radon-Nikodým property
• Geometric aspects of convex sets with the Radon-Nikodym property
• Differentiation in Banach spaces
• On Denjoy type extensions of the Pettis integral
• The Bourgain property and convex hulls
• A CHARACTERIZATION OF THE WEAK RADON–NIKODÝM PROPERTY BY FINITELY ADDITIVE INTERVAL FUNCTIONS
• NOWHERE WEAK DIFFERENTIABILITY OF THE PETTIS INTEGRAL
• Biorthogonal systems in Banach spaces

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