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Self-commutator inequalities in higher dimension

Author: Mircea Martin
Journal: Proc. Amer. Math. Soc. 130 (2002), 2971-2983
MSC (1991): Primary 47B20, 42B20
Published electronically: March 12, 2002
MathSciNet review: 1908920
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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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Additional Information

Mircea Martin
Affiliation: Department of Mathematics, Baker University, Baldwin City, Kansas 66006

Keywords: Hyponormal operators, Putnam's inequality, Riesz transforms
Received by editor(s): June 27, 2000
Received by editor(s) in revised form: May 7, 2001
Published electronically: March 12, 2002
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2002 American Mathematical Society

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