Journal of Operator Theory

Volume 40, Issue 2, Fall 1998 pp. 385-407.

Operators that dominate normal operators

Authors: Jim Agler (1), and John E. McCarthy (2)
Author institution: (1) University of California at San Diego, La Jolla, California 92093, U.S.A.
(2) Washington University, St. Louis, Missouri 63130, U.S.A.

Summary: We say that an operator $T$ dominates a normal operator $N$ if there is an intertwining $LT=NL$ by a non-zero operator $L$. This notion generalizes that of subnormality. We consider operators that dominate normals, and characterize the invariant subspaces for a special class of these operators.

Keywords: Dominate, normal, invariant subspace

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