• Corpus ID: 239020189

Centrality measure for positive elements of W*-algebras

  title={Centrality measure for positive elements of W*-algebras},
  author={A. V. Novikov and Sami Abdullah Abed and Irina Nikolaeva},
In this article we propose a measure that gives an answer “How far is an element from central?” We introduce the definition for the measure of centrality of the von Neumann algebra (W ∗-algebra) elements and give the formula for the countably decomposable algebras. Particularly, that means that we gave measure of centrality for block diagonal matrices. We think that this article could be useful in the research of perturbations applied to inequalities characterizing traces and central elements. 


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    Lobachevskii Journal of Mathematics
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