PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 41(55), pp. 8389 (1987) 

MERCERIAN THEOREMS FOR BEEKMANN MATRICESVladeta Vuckovi\'cDepartment of Mathematics, University of Notre Dame Notre Dame, Indiana 46556, USAAbstract: A matrix $A=(a_{nk})$ is called {\it normal\/} if $a_{nk}=0$ for $k>n$ and $a_{nn}\neq 0$ for all $n$. Such a matrix has a normal inverse $A^{1}=(\alpha_{nk})$. If Ihe inverse $A^{1}$ of a normal and regular matrix $A$ satisfies the conditions $\alpha_{nk}\leq 0$ for $k Classification (MSC2000): 40C05 Full text of the article:
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