More results on generalized singular number inequalities of τ-measurable operators

Abstract In this article we give some generalized singular number inequalities for products and sums of τ-measurable operators. Some related arithmetic-geometric mean and Heinz mean inequalities for a generalized singular number of τ-measurable operators are proved.

Bibliographic Details
Main Authors: Yazhou Han, Jingjing Shao
Format: Article
Language:English
Published: SpringerOpen 2016-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1085-1
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author Yazhou Han
Jingjing Shao
author_facet Yazhou Han
Jingjing Shao
author_sort Yazhou Han
collection DOAJ
description Abstract In this article we give some generalized singular number inequalities for products and sums of τ-measurable operators. Some related arithmetic-geometric mean and Heinz mean inequalities for a generalized singular number of τ-measurable operators are proved.
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spelling doaj.art-fc927cb260344f90aa7bc118166e398b2022-12-21T20:31:29ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-05-012016111310.1186/s13660-016-1085-1More results on generalized singular number inequalities of τ-measurable operatorsYazhou Han0Jingjing Shao1College of Mathematics and Systems Science, Xinjiang UniversityCollege of Mathematics and Systems Science, Xinjiang UniversityAbstract In this article we give some generalized singular number inequalities for products and sums of τ-measurable operators. Some related arithmetic-geometric mean and Heinz mean inequalities for a generalized singular number of τ-measurable operators are proved.http://link.springer.com/article/10.1186/s13660-016-1085-1generalized singular numbervon Neumann algebraτ-measurable operator
spellingShingle Yazhou Han
Jingjing Shao
More results on generalized singular number inequalities of τ-measurable operators
Journal of Inequalities and Applications
generalized singular number
von Neumann algebra
τ-measurable operator
title More results on generalized singular number inequalities of τ-measurable operators
title_full More results on generalized singular number inequalities of τ-measurable operators
title_fullStr More results on generalized singular number inequalities of τ-measurable operators
title_full_unstemmed More results on generalized singular number inequalities of τ-measurable operators
title_short More results on generalized singular number inequalities of τ-measurable operators
title_sort more results on generalized singular number inequalities of τ measurable operators
topic generalized singular number
von Neumann algebra
τ-measurable operator
url http://link.springer.com/article/10.1186/s13660-016-1085-1
work_keys_str_mv AT yazhouhan moreresultsongeneralizedsingularnumberinequalitiesoftmeasurableoperators
AT jingjingshao moreresultsongeneralizedsingularnumberinequalitiesoftmeasurableoperators