Impossibility of Dimension Reduction in the Nuclear Norm

Assaf Naor, Gilles Pisier, Gideon Schechtman

Type: Article

Publication Date: 2019-12-16

Citations: 3

DOI: https://doi.org/10.1007/s00454-019-00162-2

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Discrete & Computational Geometry - View - PDF

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+ PDF Chat	$$\varepsilon $$-Isometric Dimension Reduction for Incompressible Subsets of $$\ell _p$$	2023	Alexandros Eskenazis
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Works Cited by This (72)

Action	Title	Year	Authors
+	Metric Structures for Riemannian and Non-Riemannian Spaces	2007	Mikhael Gromov
+	On lipschitz embedding of finite metric spaces in low dimensional normed spaces	1987	William B. Johnson Joram Lindenstrauss Gideon Schechtman
+ PDF Chat	Finite dimensional subspaces of $L_{p}$	1978	Debra Lewis
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen
+	Geometric Nonlinear Functional Analysis	1999	Yoav Benyamini Joram Lindenstrauss
+	Introduction to Uniform Spaces	1990	I. M. James
+ PDF Chat	Embedding subspaces of 𝐿₁ into 𝑙^{𝑁}₁	1990	Michel Talagrand
+	None	2001	Urs Lang Conrad Plaut
+	Trace Ideals and Their Applications	2010	Barry Simon
+	Some results on Banach spaces without local unconditional structure	1978	Gilles Pisier