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SOME WEAK HYPONORMAL CLASSES OF WEIGHTED COMPOSITION OPERATORS
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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.
Abstract
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.
참고문헌 (10)
- A. Aluthge, "On p-hyponormal operators for 0 < p < 1", Integral Equations Operator Theory, 13(3), pp.307~315 (1990)
- A. Aluthge, "w-hyponormal operators", Integral Equations Operator Theory, 36(1), pp.1~10 (2000)
- C. Burnap, "Composition operators with weak hyponormality", J. Math. Anal. Appl., 337(1), pp.686~694 (2008)
- C. Burnap, "Separating partial normality classes with composition operators", J. Operator Theory, 53(2), pp.381~397 (2005)
- T. Furuta, "Invitation to Linear Operators" (2001), Taylor & Francis, Ltd.
- D. Harrington, "Seminormal composition operators", J. Operator Theory, 11(1), pp.125~135 (1984)
- T. Hoover, "The Markov process determined by a weighted composition operator", Studia Math., 72(3), pp.225~235 (1982)
- A. Lambert, "Hyponormal composition operators", Bull. London Math. Soc., 18(4), pp.395~400 (1986)
- R. K. Singh, "Composition Operators on Function Spaces" (1993), North-Holland Publishing Co.
- T. Yamazaki, "A further generalization of paranormal operators", Sci. Math., 3(1), pp.23~31 (2000)
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