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Please use this identifier to cite or link to this item:
http://hdl.handle.net/1783.1/1396
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| Title: | Unitarily invariant metrics on the Grassmann space |
| Authors: | Qiu, Li
Zhang, Yanxia
Li, Chi-Kwong |
| Keywords: | Unitarily invariant metric
Grassmann space
Symmetric gauge function
Canonical angles
Triangular inequality |
| Issue Date: | 2004 |
| Abstract: | It is shown that Φ(θ1(Χ, Y),...,θm(Χ, Y)) defines a unitarily invariant metric on the Grassmann space Gm,n of m-dimensional subspaces of Fn for every symmetric gauge function Φ, where θ1(Χ, Y),...,θm(Χ, Y) are the canonical angles between subspaces X, Y ∈ Gm,n. This provides a wide class of new metrics on Gm,n. Some related results on perturbation and approximation of subspaces in Gm,n, as well as the canonical angles between them, are also discussed. Furthermore, the equality case of the triangular inequality for several unitarily invariant metrics are analyzed. |
| URI: | http://hdl.handle.net/1783.1/1396 |
| Appears in Collections: | ECE Journal/Magazine Articles
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| QZL.pdf | | 268Kb | Adobe PDF | View/Open |
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