Interpolator symmetries and new Kalton-Peck spaces

Ver/Abrir
Identificadores
URI: https://hdl.handle.net/10902/32310
ISSN: 1422-6383
ISSN: 1420-9012
Compartir
Estadísticas
Ver Estadísticas
Google Scholar
Registro completo
Mostrar el registro completo DC
Autoría
Fernández Castillo, Jesús María; Corrêa, Willian H. G.; Ferenczi, Valentin; González Ortiz, ManuelAutoridad Unican
Fecha
2024
Derechos
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
Publicado en
Results in Mathematics, 2024, 79(3), 108
Editorial
Springer
Enlace a la publicación
Resumen/Abstract
We study the six diagrams generated by the first three Schechter interpolators Δ₂(f) = f´´(1/2)/2!, Δ₁(f) = f (1/2), Δ0(f) = f´(1/2) acting on the Calder´on 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 l₂. We will also deal with a nice test case: that of weighted l₂ spaces, in which case all involved spaces are Hilbert spaces.
Colecciones a las que pertenece
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.Excepto si se señala otra cosa, la licencia del ítem se describe como This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.