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December, 2018 Searching for Structures Inside of the Family of Bounded Derivatives Which are not Riemann Integrable
Pablo Jiménez-Rodríguez
Taiwanese J. Math. 22(6): 1427-1433 (December, 2018). DOI: 10.11650/tjm/180403

Abstract

We construct a non-separable Banach space every nonzero element of which is a bounded derivative that is not Riemann integrable. This in particular improves a result presented in [3], where the corresponding space was found to be separable.

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Pablo Jiménez-Rodríguez. "Searching for Structures Inside of the Family of Bounded Derivatives Which are not Riemann Integrable." Taiwanese J. Math. 22 (6) 1427 - 1433, December, 2018. https://doi.org/10.11650/tjm/180403

Information

Received: 3 December 2017; Accepted: 13 April 2018; Published: December, 2018
First available in Project Euclid: 18 April 2018

zbMATH: 07021697
MathSciNet: MR3878575
Digital Object Identifier: 10.11650/tjm/180403

Subjects:
Primary: 15A03 , 26A24 , 26A42 , 47L05

Keywords: derivatives , lineability , Riemann integrability , spaceability

Rights: Copyright © 2018 The Mathematical Society of the Republic of China

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Vol.22 • No. 6 • December, 2018
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