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) |
References:
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| [2] | G¨on¨ull¨u U. Schatten type classes of operators on Kaplansky-Hilbert modules. In: Korobe˘ınik YuF, Kusraev AG, editors. Studies in Mathematical Analysis, VSC RAS; 14-20 July 2013; Vladikavkaz, Russia. 2014, pp. 227-238. |
| [3] | G¨on¨ull¨u U. Trace class and Lidski˘ı trace formula in Kaplansky-Hilbert modules. Vladikavkaz Math J 2014; 16: 29-37. · Zbl 1359.47034 |
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