Equivalence between estimates for quasi-commutators and commutators

Published 25 Jan 2017 in math.FA | (1701.07310v1)

Abstract: In this short note we show that under some mild conditions on the space and the operators, an estimate for $|Sf(A) - f(B)S|$ needs only to be studied for invertible $S$ and $B$ equal to $A$. Thus estimates for a quasi-commutator can be derived from that for the commutator.

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Authors (1)

Hans Zwart

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