An inequality for generalized s-numbers
type: Item
instance of: scholarly article
title: An inequality for generalized s-numbers
zbMATH Open document ID: 0621.46051
DOI: 10.1007/BF01199797
author: Yoshihiro Nakamura
published in: Integral Equations and Operator Theory
publication date: 1987-01-01T00:00:00Z
review text: In the analysis of compact operators in Hilbert spaces, the notion of s- numbers plays an important role. Generalized s-numbers are defined as a natural generalization of this notion in the framework of semifinite von Neumann algebras. The Lidskii-Wielandt type inequality for generalized s- numbers is proved by F. Hiai and the author. In this article the author proves an inequality for the generalized s-numbers of the product of two operators.
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47B06
zbMATH DE Number: 4007006
zbMATH Keywords: compact operators in Hilbert spaces
zbMATH Keywords: semifinite von Neumann algebras
zbMATH Keywords: Lidskii-Wielandt type inequality for generalized s-numbers
zbMATH Keywords: generalized s-numbers of the product of two operators
MaRDI profile type: Publication
cites work: Generalized s-numbers of \(\tau\)-measurable operators
cites work: Q5571194
cites work: Majorizations for generalized s-numbers in semifinite von Neumann algebras
cites work: THE EIGEN- AND SINGULAR VALUES OF THE SUM AND PRODUCT OF LINEAR OPERATORS
full work available at URL: https://doi.org/10.1007/bf01199797
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description: scientific article; zbMATH DE number 4007006