Strong ball proximinality of the space of compact operators
Tom 268 / 2023
Streszczenie
We prove that the closed unit ball of the space of compact operators on a Hilbert space is strongly proximinal in the corresponding space of all bounded operators under an additional assumption. We also give a sufficient condition for an -summand to be strongly ball proximinal. In addition, we prove that the space of bounded operators on a Hilbert space is strongly ball proximinal in itself under an additional assumption.