Gaps of operators. II. (English) Zbl 1082.47016

Summary: In [J. Math. Anal. Appl. 304, No. 1, 87–95 (2005; Zbl 1077.47024)], the authors obtained an operator matrix with two variables that distinguishes the classes of \(p\)-hyponormal operators, \(w\)-hyponormal, absolute-\(p\)-paranormal, and normaloid operators on Hilbert spaces. We establish the general model for \(n\) variables, which provides many more examples to show that such classes are distinct.


47B20 Subnormal operators, hyponormal operators, etc.
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47A15 Invariant subspaces of linear operators


Zbl 1077.47024
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