NOWHERE WEAK DIFFERENTIABILITY OF THE PETTIS INTEGRAL
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Publication:4863768
DOI10.1080/16073606.1995.9631809zbMath0856.28006arXivmath/9410203OpenAlexW2963411745MaRDI QIDQ4863768
Maria Girardi, Stephen Dilworth
Publication date: 3 February 1997
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9410203
Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items (15)
On the theory of fractional calculus in the Pettis-function spaces ⋮ Anti-compacts and their applications to analogs of Lyapunov and Lebesgue theorems in Fréchet spaces ⋮ Integration of Banach-valued functions and Haar series with Banach-valued coefficients ⋮ Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems ⋮ Сублинейный аналог теоремы Банаха - Мазура в отделимых выпуклых конусах с нормой ⋮ On the lack of equivalence between differential and integral forms of the Caputo-type fractional problems ⋮ Differentiation of an additive interval measure with values in a conjugate Banach space ⋮ On the integration of Riemann-measurable vector-valued functions ⋮ A variational Henstock integral characterization of the Radon-Nikodým property ⋮ Weakly absolutely continuous functions without weak, but fractional weak derivatives ⋮ Fractional calculus and fractional differential equations in nonreflexive Banach spaces ⋮ The failure of Fatou's theorem on Poisson integrals of Pettis integrable functions ⋮ On functions without pseudo derivatives having fractional pseudo derivatives ⋮ SOME COMMENTS ON SCALAR DIFFERENTIATION OF VECTOR-VALUED FUNCTIONS ⋮ Lineability of non-differentiable Pettis primitives
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