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On the $K$-functionals of absolutely Calderón elements of the Banach pair $( l_{1} , c_{0} )$
V. I. Dmitrieva, E. V. Zhuravlevaa, O. Yu. Mikhailovaa, I. N. Burilichb a MIREA — Russian Technological University, Moscow
b Kursk State University
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.
Keywords:
Banach pair, interpolation orbit, Peetre K-functional.
Received: 10.07.2023 Revised: 12.12.2023 Accepted: 28.01.2024
Citation:
V. I. Dmitriev, E. V. Zhuravleva, O. Yu. Mikhailova, I. N. Burilich, “On the $K$-functionals of absolutely Calderón elements of the Banach pair $( l_{1} , c_{0} )$”, Sibirsk. Mat. Zh., 65:2 (2024), 277–287
Linking options:
https://www.mathnet.ru/eng/smj7854 https://www.mathnet.ru/eng/smj/v65/i2/p277
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Abstract page: | 21 | References: | 11 | First page: | 3 |
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