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In this paper, we study which transform preserves the k-hyponormality of weighted shifts. For this, we introduce a new transform, the modulus multiplication transform, and then examine various properties of it.
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참고문헌 (14)
참고문헌 신청
A. Aluthge / 1990 / On p-hyponormal Operators for 0 < p < 1 / Integral Equations Operator Theory 13:307~315
M. Cho / 2005 / On Aluthge Transforms of p-hyponormal Operators / Integral Equations Operator Theory 53:321~329
J. Conway / 1991 / The Theory of Subnormal Operators, Mathematical Surveys and Monographs, vol. 36
R. Curto / 1988 / Hyponormal pairs of commuting operators / Operator Theory: Adv. Appl. 35:1~22
R. Curto / 2003 / k-hyponormality of powers of weighted shifts / Proc. Amer. Math. Soc. 131:2761~2769
M. Cho / 2005 / On Aluthge Transforms of p-hyponormal Operators / Integral Equations Operator Theory 53:321~329
J. Conway / 1991 / The Theory of Subnormal Operators, Mathematical Surveys and Monographs, vol. 36
R. Curto / 1988 / Hyponormal pairs of commuting operators / Operator Theory: Adv. Appl. 35:1~22
R. Curto / 2003 / k-hyponormality of powers of weighted shifts / Proc. Amer. Math. Soc. 131:2761~2769
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