• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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Volume 16 Issue 6
Dec.  2003
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Article Contents
CUIHong-wei, HAN Liu-bing. Spectrum of OperatorTwhenT*=T2[J]. Journal of Southwest Jiaotong University, 2003, 16(6): 727-727.
Citation: CUIHong-wei, HAN Liu-bing. Spectrum of OperatorTwhenT*=T2[J]. Journal of Southwest Jiaotong University, 2003, 16(6): 727-727.

Spectrum of OperatorTwhenT*=T2

  • Publish Date: 25 Dec 2003
  • The concept of a self-conjugate operator in Hilbert space was extended by introducing the definition of a conjugate square-operator. The properties of the operator and the necessary and sufficient conditions for the regular value to exist were studied using the concept and properties of normal operators in Hilbert space, the spectrum mapping principle and analogy. The results obtained show that, whenT*=T2,the spectrum of conjugate square-operatorTis a finite spectrum.

     

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      沈阳化工大学材料科学与工程学院 沈阳 110142

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