Spectral synthesis in Banach modules over commutative Banach algebras
type: Item
instance of: scholarly article
title: Spectral synthesis in Banach modules over commutative Banach algebras
zbMATH Open document ID: 0551.43003
DOI: 10.1007/BF01157396
published in: Mathematical Notes
publication date: 1983-01-01T00:00:00Z
review text: The problem of spectral syntesis is considered in the Banach modules over the commutative Banach algebras, which generalizes the problem originally considered by G. E. Shilov for the commutative regular Banach algebras. The author's approach permits in particular the proof of some results due to G. E. Shilov for some classes of regular algebras with a radical and of a well-known theorem due to E. A. Gorin on the spectrally stable Banach algebras.
Mathematics Subject Classification ID: 43A20
Mathematics Subject Classification ID: 46H25
Mathematics Subject Classification ID: 46J05
zbMATH DE Number: 3877756
zbMATH Keywords: spectral syntesis
zbMATH Keywords: Banach modules
zbMATH Keywords: radical
zbMATH Keywords: spectrally stable Banach algebras
author: Anatoly G. Baskakov
MaRDI profile type: Publication
cites work: Q5790281
cites work: Q4405003
cites work: Théorie générale des fonctions moyenne-périodiques
cites work: The Spectral Theory of Bounded Functions
cites work: Q3209125
cites work: Convergence and divergence of Fourier integrals in the Sobolev-spaces pair
full work available at URL: https://doi.org/10.1007/bf01157396
OpenAlex ID: W2051521106
description: scientific article; zbMATH DE number 3877756