Estimates of the weak distance between finite-dimensional Banach spaces

DOI10.1007/BF02808200zbMath0823.46010MaRDI QIDQ1804797

M. V. Rudel'son

Publication date: 15 May 1995

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

operator-valued functions

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07) Classical Banach spaces in the general theory (46B25)

Related Items

Remarks on the geometry of coordinate projections in \(\mathbb{R}^n\), Extremally distant normed spaces with additional restrictions, Estimates of distances between sums of the spaces \(\ell_{n}^{p}\). II, Volume ratios for Cartesian products of convex bodies, Universal gaps for XOR games from estimates on tensor norm ratios, John's decompositions: Selecting a large part, On the nontrivial projection problem

Cites Work

• Embedding of \(\ell^ k_{\infty}\) in finite dimensional Banach spaces
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Invertibility of ``large submatrices with applications to the geometry of Banach spaces and harmonic analysis
• Diameter of the Minkowski compactum is approximately equal to n
• Embedding \(\ell_ p^ k\) in subspaces of \(L_ p\) for \(p>2\)
• Uniformly non-square Banach spaces
• On the Existence and Uniqueness of Complex Structure and Spaces With "Few" Operators
• The Weak Distance between Finite-Dimensional Banach Spaces
• Finite dimensional subspaces of $L_{p}$
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