On the covariance tensor

  • Anatole Beck
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 644)


The concept of covariance, and the corollary concept of weak variance, are remarkably feebler in infinite-dimensional than in finite-dimensional spaces. This gives some indication of the weakness of such concepts as weak orthogonality in proving limit theorems for random variables in B-spaces.


Banach Space Bilinear Form Conditional Independence Weak Topology Weak Variance 
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  1. [1]
    Anatole Beck, Conditional Independence, Zeitschrift für Wahrscheinlichkeitstheorie 33 (1976) pp. 253–267.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Anatole Beck
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

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