## Weyl- and Horn-type inequalities for cyclically compact operators.(English)Zbl 1424.47096

Summary: A variant of Weyl- and Horn-type inequalities for cyclically compact operators on Kaplansky-Hilbert modules is given.

### MSC:

 47B60 Linear operators on ordered spaces 47B06 Riesz operators; eigenvalue distributions; approximation numbers, $$s$$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 47B07 Linear operators defined by compactness properties 15A42 Inequalities involving eigenvalues and eigenvectors 46B99 Normed linear spaces and Banach spaces; Banach lattices 46A19 Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than $$\mathbb{R}$$, etc.) 46L08 $$C^*$$-modules 47B38 Linear operators on function spaces (general)
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### References:

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