On the spectral properties of some classes of operators
type: Item
instance of: scholarly article
zbMATH Open document ID: 1264.47008
author: Pietro Aiena
publication date: 2012-09-05T00:00:00Z
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A11
Mathematics Subject Classification ID: 47A63
zbMATH DE Number: 6077325
zbMATH Keywords: Hilbert space
zbMATH Keywords: polaroid operators
zbMATH Keywords: single valued extension property (SVEP)
zbMATH Keywords: Weyl type theorem
MaRDI profile type: Publication
title: On the spectral properties of some classes of operators
published in: Bollettino di Matematica Pura e Applicata
review text: In this expository paper, the author considers spectral properties of operators defined by means of some order inequalities. It is shown that these operators share many spectral properties with normal operators on Hilbert spaces, mostly concerning Fredholm theory and local spectral theory. The main interest of the paper is connected with the isolated points of the spectra and of the approximate point spectra of these operators. These properties lead to the concept of polaroid operator, which with additional concepts produces a general framework from which it is stated that several versions of Weyl type theorem hold for all these operators.
reviewed by: Vladimir S. Pilidi
description: scientific article; zbMATH DE number 6077325