Gaps of operators. II. (English) Zbl 1082.47016

Jung, Il Bong; Lee, Mi Ryeong; Lim, Pil Sang

Glasg. Math. J. 47, No. 3, 461-469 (2005).

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.

MSC:

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

Keywords:

Hilbert space; \(p\)-hyponormal operator; \(w\)-hyponormal operator; \(\infty\)-hyponormal operator; absolute-\(p\)-paranormal operator; normaloid operator

Citations:

Zbl 1077.47024