2018/06/01 by Javad Mashreghi, Thomas Ransford
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Algebra over a field #Banach algebra #Banach space #Character (mathematics) #Eberlein–Šmulian theorem #Holomorphic and Operator Theory #Invertible matrix #Lp space #Mathematics #Pure mathematics #Scalar (mathematics) #math.CV #math.FA #msc:15A86 #msc:30H10 #msc:46H05 #msc:46H40 #msc:47B49
paper · pdf · doi:10.14232/actasm-017-323-8
published as Acta Sci. Math. (Szeged) 84 (2018), 227-238 · arXiv admin note: text overlap with arXiv:1510.08128
openalex publication_date 2018/06/01 · arxiv created 2020/11/04 · arxiv updated 2020/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Gleason-Kahane-Żelazko theorem states that a linear functional on a Banach algebra that is non-zero on invertible elements is necessarily a scalar multiple of a character. Recently this theorem has been extended to certain Banach function spaces that are not algebras. In this article we present a brief survey of these extensions.