Abstract
We characterize the absolutely Calderón elements of the canonical pair \( (l_{1},c_{0}) \) of sequence spaces in terms of the Peetre \( K \)-functional. This result has been known to the first author since rather long ago but the proof appears here. Also, we formulate a few unsolved problems.
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Translated from Sibirskii Matematicheskii Zhurnal, 2024, Vol. 65, No. 2, pp. 277–287. https://doi.org/10.33048/smzh.2024.65.204
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Dmitriev, V.I., Zhuravleva, E.V., Mikhailova, O.Y. et al. On the \( K \)-functionals of Absolutely Calderón Elements of the Banach Pair \( (l_{1},c_{0}) \). Sib Math J 65, 279–288 (2024). https://doi.org/10.1134/S0037446624020046
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DOI: https://doi.org/10.1134/S0037446624020046