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Abstract: We study the six diagrams generated by the first three Schechter interpolators ?2(f)=f´´(1/2)/2!,?1(f)=f´(1/2),?0(f)=f(1/2) acting on the Calderón space associated to the pair (l?,l1). We will study the remarkable and somehow unexpected properties of all the spaces appearing in those diagrams: two new spaces (and their duals), two Orlicz spaces (and their duals) in addition to the third order Rochberg space, the standard Kalton-Peck space Z2 and, of course, the Hilbert space Z2. We will also deal with a nice test case: that of weighted l2 spaces, in which case all involved spaces are Hilbert spaces.
Fuente: Results in Mathematics, 2024, 79(3), 108
Publisher: Springer
Year of publication: 2024
No. of pages: 28
Publication type: Article
DOI: 10.1007/s00025-024-02128-0
ISSN: 1422-6383,1420-9012
Spanish project: PID2019- 103961
Publication Url: https://doi.org/10.1007/s00025-024-02128-0
Consult in UCrea Read publication
JESUS MARIA FERNANDEZ CASTILLO
CORRÊA, WILLIAN H. G.
FERENCZI, VALENTIN
MANUEL GONZALEZ ORTIZ
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