Cyclic vectors and cellular indecomposable operators on Qp spaces |
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| Authors: | Ye Shanli Lou Zengjian |
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| Institution: | a Department of Mathematics, Fujian Normal University, Fuzhou 350007, China
b Department of Mathematics, Shantou University, Shantou 515063, China |
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| Abstract: | We identify the functions whose polynomial multiples are weak* dense in Qp spaces and prove that if |f(z)| ≥ |g(z)| and g is cyclic in Qp, then f is cyclic in Qp. We also show that the multiplication operator Mz on Qp spaces is cellular indecomposable. |
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| Keywords: | Cyclic vectors Outer functions Cellular indecomposable Qp spaces |
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