Analytic multivalued functions and spectral trace
type: Item
instance of: scholarly article
title: Analytic multivalued functions and spectral trace
zbMATH Open document ID: 0864.47007
DOI: 10.1007/BF01446313
published in: Mathematische Annalen
publication date: 1996-07-09T00:00:00Z
full work available at URL: https://eudml.org/doc/165423
review text: The result given in this paper is that for a quasi-Banach operator-ideal with eigenvalue type \(\ell^1\), the spectral sum is a trace on that ideal. This improves the theorem of Lidskij which proves this for the special case of the trace class operators on a Hilbert space.
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47L20
Mathematics Subject Classification ID: 32U05
zbMATH DE Number: 892568
zbMATH Keywords: analytic multivalued functions
zbMATH Keywords: spectral trace
zbMATH Keywords: quasi-Banach operator-ideal
zbMATH Keywords: spectral sum
zbMATH Keywords: theorem of Lidskij
zbMATH Keywords: trace class operators
author: Michael C. White
reviewed by: Joe Howard
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 892568