Equivalence of the Paulsen problem in Operator Theory

Document Type: Research Paper


1 Vali-e-Asr university

2 Department of Mathematics, Faculty of mathematical Sciences, Vali-e-Asr Universisty of Rafsanjan, Rafsanjan. Iran.



Paulsen problem in operator theory due to finding the nearest equal norm Parseval frame to a near-Parseval and near-equal norm frame has been one of the interests of researchers in recent years. Some of them have tried to find an equivalence problem to this and by solving it, find a question for the Paulsen problem. In this paper, by using some new concepts, a generalization of this problem is given and it is shown that this is equivalent to a problem in operator theory.