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math.FA2015★ 12 cited
Factorization of the identity through operators with large diagonal
Niels Jakob Laustsen, Richard Lechner, Paul F. X. Müller
Given a Banach space~ with an unconditional basis, we consider the following question: does the identity on~ factor through every operator on~ with large diagonal relative…
math.FA2015
Ideal structure of the algebra of bounded operators acting on a Banach space
Tomasz Kania, Niels Jakob Laustsen
We construct a Banach space such that the lattice of closed two-sided ideals of the Banach algebra of bounded operators on is as follows: $$ \{0\}\subset \…