Abstract
In this chapter, after recalling some fundamental facts on Hilbert–Schmidt operators, trace operators and some properties of traces of such operators, we present a trace version of Kato’s inequality. Some natural functionals associated to this inequality and their superadditivity and monotonicity are established. Several inequalities for sequences of operators and power series of operators are given as well.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Dragomir, S.S. (2019). Trace Inequalities. In: Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-17459-0_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-17459-0_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-17458-3
Online ISBN: 978-3-030-17459-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)