Pedro Massey, Demetrio Stojanoff, Sebastian Zarate
Published 2021-06-16Version 1
In this work we introduce a new measure of dispersion of the eigenvalues of a Hermitian (self-adjoint) compact operator, that we call spectral spread. Then, we obtain several inequalities for unitarily invariant norms involving the spectral spread of self-adjoint compact operators, that are related with Bhatia-Davis's and Corach-Porta-Recht's work on Arithmetic-Geometric mean inequalities, Zhan's inequality for the difference of positive compact operators, Tao's inequalities for anti-diagonal blocks of positive compact operators and Kittaneh's commutator inequalities for positive operators.
Convexity or concavity inequalities for Hermitian operators
Isometries and Hermitian Operators on Zygmund spaces
Isometries and Hermitian operators on $\mathcal{B}_0(\triangle, E)$
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