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math.FA2015★ 1 cited
The intrinsic metric on the unit sphere of a normed space
Miek Messerschmidt, Marten Wortel
Let denote the unit sphere of a real normed space. We show that the intrinsic metric on is strongly equivalent to the induced metric on . Specifically, for all $x,y\in S…
math.FA2015★ 8 cited
Equivalence after extension for compact operators on Banach spaces
Sanne ter Horst, Miek Messerschmidt, André C. M. Ran
In recent years the coincidence of the operator relations equivalence after extension and Schur coupling was settled for the Hilbert space case, by showing that equivalence after e…