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On similarity and reducing subspaces of the n-shift plus certain weighted volterra operator
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نویسنده
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li y. ,chen h. ,lan w.
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منبع
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journal of function spaces - 2017 - دوره : 2017 - شماره : 0
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چکیده
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Let g(z) be an n-degree polynomial (n≥2). inspired by sarason's result,we introduce the operator t1 defined by the multiplication operator mg plus the weighted volterra operator vg on the bergman space. we show that the operator t1 is similar to mg on some hilbert space sg2(d). then for g(z)=zn,by using matrix manipulations,the reducing subspaces of the corresponding operator t2 on the bergman space are characterized. © 2017 yucheng li et al.
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آدرس
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department of mathematics,hebei normal university,hebei province key laboratory of computational mathematics and applications,shijiazhuang, China, department of mathematics,hebei normal university,hebei province key laboratory of computational mathematics and applications,shijiazhuang, China, department of mathematics,hebei normal university,hebei province key laboratory of computational mathematics and applications,shijiazhuang, China
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Authors
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