Minimal length curves in unitary orbits of a Hermitian compact operator
We study some examples of minimal length curves in homogeneous spaces of B(H) under a left action of a unitary group. Recent results relate these curves with the existence of minimal (with respect to a quotient norm) anti-Hermitian operators Z in the tangent space of the starting point. We show mini...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2016 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/38575 |
| Online Access: | http://hdl.handle.net/11336/38575 |
| Access Level: | Open access |
| Keyword: | Approximation of Minimal Length Curves Geodesic Curves Minimal Operators in Quotient Spaces Unitary Orbits https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | We study some examples of minimal length curves in homogeneous spaces of B(H) under a left action of a unitary group. Recent results relate these curves with the existence of minimal (with respect to a quotient norm) anti-Hermitian operators Z in the tangent space of the starting point. We show minimal curves that are not of this type but nevertheless can be approximated uniformly by those. |
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