Martínez Ansemil, José MaríaAron, Richard M.Ponte Miramontes, María Del Socorro2023-06-202023-06-202009-060034-5318https://hdl.handle.net/20.500.14352/42352We prove the impossibility of expressing the space of entire functions on any infinite dimensional complex Banach space with a Schauder basis E as a countable union of spaces of entire functions that are bounded on countable open covers of E.engjournal articlehttp://www.kurims.kyoto-u.ac.jp/~prims/pdf/45-2/45-2-10.pdfhttp://www.ems-ph.org/journals/journal.php?jrn=primsrestricted access517.553Entire function on a Banach spaceInductive limitSchauder basisFunciones (Matemáticas)1202 Análisis y Análisis Funcional