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Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure

Crossref DOI link: https://doi.org/10.1007/s11425-018-9379-y

Published Online: 2018-11-22

Published Print: 2019-01

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Ablet, Ehmet

Cheng, Lixin

Cheng, Qingjin

Zhang, Wen
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Text and Data Mining valid from 2018-11-22
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Article History

Received: 22 March 2018

Accepted: 20 July 2018

First Online: 22 November 2018

Change Date: 8 August 2019

Change Type: Erratum

Change Details: [1, Theorem 4.4] states that every infinite dimensional Banach space admits a homogenous measure of noncompactness not equivalent to the Hausdorff measure. Howevere, there is a gap in the proof. In fact, we found that [1, Lemma 4.3] is not true. In this erratum, we give a corrected proof of [1, Theorem 4.4].