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  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China
  • Received:2008-05-08 Revised:1900-01-01 Online:2009-01-24 Published:2010-04-15

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Abstract: Weyl’s theosem and hypercyclicity are relative to mathematical quantum mechanics, since the corresponding operators in many questions in physics and quantum mechanics satisfy Weyl’s theorem or have hypercyclicity. using spectral characteristic of algebraically *paranormal operators, Weyl’s theorem and hypercyclicity for algebraically *paranormal operators were studied.

Key words: Weyl’s theorem, algebraically *paranormal operator, spectrum, hypercyclic operator

CLC Number: 

  • 01772
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