2019
DOI: 10.1090/proc/14536
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Constructing a Lipschitz retraction from ℬ(β„‹) onto 𝒦(β„‹)

Abstract: It is shown that each norm closed proper two-sided ideal of a von Neumann algebra is a Lipschitz retract of the algebra. In particular, there exists a Lipschitz retraction from the algebra B ( H ) \mathcal {B}(\mathcal {H}) of all bounded linear operators on a complex Hilbert space H \mathcal {H} onto the ideal K ( H ) \mathcal … Show more

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