Israel Journal of Mathematics

, Volume 50, Issue 3, pp 181–188 | Cite as

Spaces with large projection constants

  • Hermann König
Article

Abstract

For every prime numberk, we give an explicit construction of a complexk-dimensional spaceX k with projection constantγ(X k ) = √k − 1/√k + 1/k. Moreover, there are realk-dimensional spacesX k withγ(x K ) ≧ √k − 1 for a subsequence of integersk. Hence in both casesγ(X k )/√k → 1 which is the maximal possible value sinceγ(X k ) ≦ √k is generally true.

Keywords

Banach Space Real Case Incidence Matrix Nuclear Norm Usual Scalar Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University 1985

Authors and Affiliations

  • Hermann König
    • 1
  1. 1.Mathematisches SeminarUniversität KielKielW. Germany

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