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In this note, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on L2(F)such as, p-quasihyponormal, p-paranormal, p-hyponormal and weakly hyponormal.
Some examples are then presented to illustrate that weighted composition operators lie between these classes.
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참고문헌 (10)
참고문헌 신청
A. Aluthge / 1990 / On p-hyponormal operators for 0 < p < 1 / Integral Equations Operator Theory 13 (3) : 307 ~ 315
A. Aluthge / 2000 / w-hyponormal operators / Integral Equations Operator Theory 36 (1) : 1 ~ 10
A. Lambert / 1986 / Hyponormal composition operators / Bull. London Math. Soc. 18 (4) : 395 ~ 400
C. Burnap / 2005 / Separating partial normality classes with composition operators / J. Operator Theory 53 (2) : 381 ~ 397
C. Burnap / 2008 / Composition operators with weak hyponormality / J. Math. Anal. Appl. 337 (1) : 686 ~ 694
A. Aluthge / 2000 / w-hyponormal operators / Integral Equations Operator Theory 36 (1) : 1 ~ 10
A. Lambert / 1986 / Hyponormal composition operators / Bull. London Math. Soc. 18 (4) : 395 ~ 400
C. Burnap / 2005 / Separating partial normality classes with composition operators / J. Operator Theory 53 (2) : 381 ~ 397
C. Burnap / 2008 / Composition operators with weak hyponormality / J. Math. Anal. Appl. 337 (1) : 686 ~ 694
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