Self-commutator inequalities in higher dimension

Martin, Mircea

doi:10.1090/S0002-9939-02-06445-6

Self-commutator inequalities in higher dimension
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by Mircea Martin

Proc. Amer. Math. Soc. 130 (2002), 2971-2983

DOI: https://doi.org/10.1090/S0002-9939-02-06445-6

Published electronically: March 12, 2002

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Abstract:

Three natural multi-dimensional substitutes for the self-commutator of a Hilbert space operator are introduced and generalizations of Putnam’s inequality to tuples of operators with semidefinite self-commutators are indicated. In addition, a Riesz transform model is developed and investigated.

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