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math.OA2007★ 6 cited
A Constrained Nevanlinna-Pick Interpolation Problem
Kenneth R. Davidson, Vern I. Paulsen, Mrinal Raghupathi +1
We obtain necessary and sufficient conditions for Nevanlinna-Pick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy $…
math.OA2007
Some new equivalences of Anderson's paving conjectures
Vern I. Paulsen, Mrinal Raghupathi
Anderson's paving conjectures are known to be equivalent to the Kadison-Singer problem. We prove some new equivalences of Anderson's conjectures that require the paving of smaller…