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.
Curto, Quadratically hyponormal weighted shifts, Integral Equations Operator Theory 13(1990), 49–66
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
A two-parameter family of geometrically regular weighted shifts is introduced and shown to realize moment infinite divisibility, subnormality, k-hyponormality, or complete hyperexpansiveness in different sectors of the (N,D) parameter square.
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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.
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Geometrically regular weighted shifts
A two-parameter family of geometrically regular weighted shifts is introduced and shown to realize moment infinite divisibility, subnormality, k-hyponormality, or complete hyperexpansiveness in different sectors of the (N,D) parameter square.