Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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COMMON LOCAL SPECTRAL PROPERTIES OF INTERTWINING LINEAR OPERATORS

  • Yoo, Jong-Kwang (Department of Liberal Arts and Science Chodang University) ;
  • Han, Hyuk (Department of Liberal Arts Kongju National University)
  • Received : 2009.03.30
  • Accepted : 2009.05.19
  • Published : 2009.06.25
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Abstract

Let T ${\in}$ $\mathcal{L}$(X), S ${\in}$ $\mathcal{L}$(Y ), A ${\in}$ $\mathcal{L}$(X, Y ) and B ${\in}$ $\mathcal{L}$(Y,X) such that SA = AT, TB = BS, AB = S and BA = T. Then S and T shares that same local spectral properties SVEP, property (${\beta}$), property $({\beta})_{\epsilon}$, property (${\delta}$) and decomposability. From these common local spectral properties, we give some results related with Aluthge transforms and subscalar operators.

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References

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