Albiac Alesanco, Fernando JoséAnsorena, José L.Berasategui, Miguel2023-10-092023-10-092023Albiac, F., Ansorena, J. L., & Berasategui, M. (2023). Elton’s near unconditionality of bases as a threshold-free form of greediness. Journal of Functional Analysis, 285(7), 110060. https://doi.org/10.1016/j.jfa.2023.1100600022-123610.1016/j.jfa.2023.110060https://academica-e.unavarra.es/handle/2454/46487Elton's near unconditionality and quasi-greediness for largest coefficients are two properties of bases that made their appearance in functional analysis from very different areas of research. One of our aims in this note is to show that, oddly enough, they are connected to the extent that they are equivalent notions. We take advantage of this new description of the former property to further the study of the threshold function associated with near unconditionality. Finally, we make a contribution to the isometric theory of greedy bases by characterizing those bases that are 1-quasi-greedy for largest coefficients.application/pdfeng© 2023 The Author(s). This is an open access article under the CC BY licenseNearly unconditional basesThresholding greedy algorithminfo:eu-repo/semantics/article2023-10-09Acceso abierto / Sarbide irekiainfo:eu-repo/semantics/openAccess