On the -functionals of Absolutely Calderón Elements of the Banach Pair

We characterize the absolutely Calderón elements of the canonical pair of sequence spaces in terms of the Peetre -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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Bibliographic Details
Published in:Siberian mathematical journal 2024, Vol.65 (2), p.279-288
Main Authors: Dmitriev, V. I., Zhuravleva, E. V., Mikhailova, O. Yu, Burilich, I. N.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Description
Summary:We characterize the absolutely Calderón elements of the canonical pair of sequence spaces in terms of the Peetre -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.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446624020046