Some Trace Inequalities for Operators in Hilbert Spaces
Silvestru Sever Dragomir
TL;DR
This paper introduces new trace inequalities for operators in Hilbert spaces, exploring their properties and applications, including for matrices and functions like the exponential, with theoretical insights and practical examples.
Contribution
It presents novel trace inequalities and investigates their superadditivity and monotonicity, extending results to power series and matrix cases.
Findings
New trace inequalities for Hilbert space operators
Applications to operator exponential functions
Derived inequalities for matrices
Abstract
Some new trace inequalities for operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated and applications for power series of such operators are given. Some trace inequalities for matrices are also derived. Examples for the operator exponential and other similar functions are presented as well.
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Taxonomy
TopicsMathematical Inequalities and Applications · Matrix Theory and Algorithms · Holomorphic and Operator Theory