separating partial normality classes with weighted composition operators

نویسندگان

h. emamalipour

faculty of mathematical sciences‎, ‎university of tabriz‎, ‎p.o‎. ‎box 5166615648‎, ‎tabriz‎, ‎iran. m. r. jabbarzadeh

faculty of mathematical sciences‎, ‎university of tabriz‎, ‎p.o‎. ‎box 5166615648‎, ‎tabriz‎, ‎iran. z. moayyerizadeh

faculty of mathematical sciences‎, ‎university of tabriz‎, ‎p.o‎. ‎box 5166615648‎, ‎tabriz‎, ‎iran.

چکیده

in this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $l^{2}(sigma)$ such as, $n$-power normal, $n$-power quasi-normal, $k$-quasi-paranormal and quasi-class$a$. then we show that weighted composition operators can separate these classes.

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Separating partial normality classes with weighted composition operators

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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۴۳، شماره ۲، صفحات ۵۶۱-۵۷۴

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