Low rank compact operators and Tingley's problem
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DOI: 10.1016/j.aim.2018.08.018
Abstract: Let $E$ and $B$ be arbitrary weakly compact JB$^*$-triples whose unit spheres are denoted by $S(E)$ and $S(B)$, respectively. We prove that every surjective isometry $f: S(E) \to S(B)$ admits an extension to a surjective… read more here.
Keywords: isometry; low rank; compact operators; tingley problem ... See more keywords
Comparison of Anterior Cruciate Ligament Graft Isometry between Paired Femoral and Tibial Tunnels
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DOI: 10.1055/s-0037-1599251
Abstract: &NA; Accurate tunnel placement is important for a successful anterior cruciate ligament (ACL) reconstruction. Controversy exists concerning the preferred method of femoral tunnel preparation, with proponents of both medial portal and transtibial drilling techniques. Current… read more here.
Keywords: graft; tunnel; isometry; placement ... See more keywords
Unraveling the Veil of Subspace RIP Through Near-Isometry on Subspaces
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DOI: 10.1109/tsp.2020.2984905
Abstract: Dimensionality reduction is a popular approach to tackle high-dimensional data with low-dimensional nature. Subspace Restricted Isometry Property, a newly-proposed concept, has proved to be a useful tool in analyzing the effect of dimensionality reduction algorithms… read more here.
Keywords: isometry property; subspace restricted; near isometry; restricted isometry ... See more keywords
Semantic isometry for 3-D shape correspondence
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DOI: 10.1177/1729881417750805
Abstract: Isometry has been widely used in corresponding problem with pose variation. However, most existing methods are causing wrong correspondences due to the ambiguity of geodesic distance. This article introduces the semantic isometry to three-dimensional shape… read more here.
Keywords: three dimensional; correspondence; semantic isometry; shape correspondence ... See more keywords
Medial Patellofemoral Ligament Isometry in the setting of Patella Alta
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DOI: 10.1177/2325967117s00214
Abstract: Objectives: Patella alta increases the complexity of decision making in regards to surgical intervention for MPFL insufficiency and resultant patellar instability1. Our objective was to develop a model to evaluate MPFL isometry2 at multiple candidate… read more here.
Keywords: patella; location; setting patella; isometry ... See more keywords
Prolongations of isometric actions to vector bundles
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DOI: 10.3906/mat-1908-15
Abstract: In this paper, we define an isometry on a total space of a vector bundle E by using a given isometry on the base manifold M. For this definition, we assume that the total space… read more here.
Keywords: vector; isometric actions; actions vector; isometry ... See more keywords