Inequalities involving eigenvalues for difference of operator means
نویسندگان
چکیده
In a recent paper by Hirzallah et al. [O. Hirzallah, F. Kittaneh, M. Krnić, N. Lovričević, and J. Pečarić. Eigenvalue inequalities for differences of means of Hilbert space operators. Linear Algebra and its Applications, 436:1516–1527, 2012.], several eigenvalue inequalities are obtained for the difference of weighted arithmetic and weighted geometric means of two positive invertible operators A and B on a separable Hilbert space under the condition that A− B is compact. This paper aims to prove some general versions of eigenvalue inequalities for the difference of weighted arithmetic, weighted geometric and generalized Heinz means with better bounds under the same conditions.
منابع مشابه
Ela Inequalities Involving Eigenvalues for Difference of Operator Means∗
In a recent paper by Hirzallah et al. [O. Hirzallah, F. Kittaneh, M. Krnić, N. Lovričević, and J. Pečarić. Eigenvalue inequalities for differences of means of Hilbert space operators. Linear Algebra and its Applications, 436:1516–1527, 2012.], several eigenvalue inequalities are obtained for the difference of weighted arithmetic and weighted geometric means of two positive invertible operators ...
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