Bounds for Projection Constants and 1-Summing Norms

DOI10.2307/2001704zbMath0713.46012OpenAlexW4247012926MaRDI QIDQ3198340

Nicole Tomczak-Jaegermann, Hermann Koenig

Publication date: 1990

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001704

zbMATH Keywords

projection constants1-summing norm of n-dimensional identity operatorstrace duality

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (13)

A characterization and equations for minimal shape-preserving projections ⋮ Symmetric spaces with maximal projection constants ⋮ Nuclearity and non-nuclearity of some Sobolev embeddings on domains ⋮ Codimension-one minimal projections onto Haar subspaces ⋮ PROJECTIONS ONTO SYMMETRIC SPACES ⋮ Subspaces of codimension two with large projection constants ⋮ The Chalmers-Metcalf operator and minimal extensions ⋮ Some Results on Absolute Projection Constants ⋮ Universal gaps for XOR games from estimates on tensor norm ratios ⋮ Minimal Multi-Convex Projections Onto Subspaces of Incomplete Algebraic Polynomials ⋮ Almost minimal orthogonal projections ⋮ On the nontrivial projection problem ⋮ Three-dimensional subspace of \(l^{(5)}_\infty\) with maximal projection constant

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