Gelfand’s theorem unplugged
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AIP Publishing
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
It was Norbert Wiener who made the observation that if a non-vanishing continuous function on the circle has an absolutely convergent Fourier series, then so does its reciprocal. Israel Gelfand saw in this picture the concept of a commutative Banach algebra, and extended Wiener’s observation to these Banach algebra elements, with a completely different proof based on “maximal ideals”. In this note we claim that the several variable spectral mapping theorem is able to unplug the Gelfand theory from the life support system of these elusive maximal ideals.
Açıklama
Anahtar Kelimeler
Kaynak
AIP Conference Proceedings
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Harte, R. E. (2019). Gelfand’s theorem unplugged. AIP Conference Proceedings.
