Characterizations of closed decomposable operators
type: Item
instance of: scholarly article
title: Characterizations of closed decomposable operators
zbMATH Open document ID: 0577.47038
author: Ivan Erdelyi
author: Sheng Wang Wang
published in: Illinois Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: In this paper, the authors endow a given closed operator with a weaker constituent than that of the spectral resolvent and obtain a new criterion for its spectral decomposition (Corollary 2.3). In Section 3, they introduce a concept weaker than that of spectral capacity for a closed operator and again obtain a simpler description of its spectral decomposition (Theorem 3.3). Finally, they extend a property of a bounded decomposable operator to the unbounded case (Corollary 3.5) and find conditions for a specific linear manifold, occurring in the theory of spectral capacities, to be dense in the underlying space (Theorem 3.6).
Mathematics Subject Classification ID: 47B40
zbMATH DE Number: 3923503
zbMATH Keywords: spectral resolvent
zbMATH Keywords: spectral decomposition
zbMATH Keywords: spectral capacity
zbMATH Keywords: bounded decomposable operator
reviewed by: H. R. Dowson
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3923503