The classical DAD problem asks, for a square matrix A with nonnegative entries, when it is possible to find positive diagonal matrices D1 and D2 with D1AD2 doubly stochastic. We consider various continuous and measurable generalizations of this problem. Through a fusion of variational and fixed point techniques we obtain strong analogues of the classical results. Our extensions appear inaccessible by either technique separately.
|Original language||English (US)|
|Number of pages||44|
|Journal||Journal of Functional Analysis|
|State||Published - Aug 1 1994|
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