Introduces n-subnormal and sub-n-normal operator classes, establishes inclusion relations with an explicit 3-subnormal counterexample, and proves that n-quasinormal unilateral weighted shifts have periodic weight sequences of period at most n.
de Prunel´ e, Conditions for bound states in a periodic linear c hain, and the spectra of a class of Toeplitz operators in terms of polylogarithm functions, J
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Classes of operators related to subnormal operators
Introduces n-subnormal and sub-n-normal operator classes, establishes inclusion relations with an explicit 3-subnormal counterexample, and proves that n-quasinormal unilateral weighted shifts have periodic weight sequences of period at most n.