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math.FA2021
On restricted diagonalization
Eduardo Chiumiento, Pedro Massey
Let be a separable infinite-dimensional complex Hilbert space, the algebra of bounded linear operators acting on and $\mathca…
math.FA2021
On a conjecture by Mbekhta about best approximation by polar factors
Eduardo Chiumiento
The polar factor of a bounded operator acting on a Hilbert space is the unique partial isometry arising in the polar decomposition. It is well known that the polar factor might not…