A nil algebra of bounded operators on Hilbert space with semisimple norm closure
type: Item
instance of: scholarly article
title: A nil algebra of bounded operators on Hilbert space with semisimple norm closure
zbMATH Open document ID: 0631.47034
DOI: 10.1007/BF01195810
author: Eric Nordgren
author: H. Radjavi
author: P. Rosenthal
author: Don Hadwin
author: Mehdi Radjabalipour
published in: Integral Equations and Operator Theory
publication date: 1986-01-01T00:00:00Z
review text: \textit{P. G. Dixon} gave an example of a radical normed algebra with semisimple completion in Colloq. Math. 37, 81-82 (1977; Zbl 0369.46043)]. The authors give another example of such algebra. Some of its properties and uses are also discussed. Details, additional properties of this example and further results will appear in another paper by the authors.
Mathematics Subject Classification ID: 47L30
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 4026191
zbMATH Keywords: nil algebra of bounded operators
zbMATH Keywords: semisimple norm closure
zbMATH Keywords: radical normed algebra with semisimple completion
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01195810
OpenAlex ID: W2016484477
description: scientific article; zbMATH DE number 4026191