An extension of an operator inequality for 𝑠-numbers

Cochran, James A.

doi:10.1090/S0002-9939-1977-0500260-X

An extension of an operator inequality for $s$-numbers
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by James A. Cochran

Proc. Amer. Math. Soc. 65 (1977), 44-46

DOI: https://doi.org/10.1090/S0002-9939-1977-0500260-X

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Abstract:

If it is assumed that the s-numbers associated with a given compact operator are ordered in the usual fashion, a basic result concerning infinite series of powers of these s-numbers can be appropriately restated so as to refer solely either to the lead terms of the series or to its tail. A simple proof, based upon an interesting auxiliary result concerning stochastic matrices, is given for this useful improvement.

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