Minimal curves in \(\mathcal{U}(n)\) and \(\mathcal{G}l(n)^+\) with respect to the spectral and the trace norms (Q2287229)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal curves in \(\mathcal{U}(n)\) and \(\mathcal{G}l(n)^+\) with respect to the spectral and the trace norms |
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Minimal curves in \(\mathcal{U}(n)\) and \(\mathcal{G}l(n)^+\) with respect to the spectral and the trace norms (English)
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20 January 2020
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In the present paper authoras are provide a complete description of the curves of minimal length and as a consequence we give an equivalent condition for uniqueness. Futher they provide a complete description of such curves proving first a characterization of the minimal curves joining two Hermitian matrices and also obtaines the set of intermediate points in all the previous contexts.
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minimal curves
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Finsler metrics
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unitary operators
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positive operators
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Grassmann manifold
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intermediate points
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