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摘要


The purpose of this paper is to show that the weighted s-shift operators and so the weighted shift and the right shift operators have the SVEP, but the left shift operator has not Also, if T, S ∈ B(X) are quasi-similar operators then, it is shown that T has the SVEP iff S has the SVEP Finally, the paper shows that the right and left shift operators are not decomposable

延伸閱讀


  • BATOR, E. M., & SLAVENS, D. R. (2003). DP1 AND COMPLETELY CONTINUOUS OPERATORS. International Journal of Mathematics and Mathematical Sciences, 2003(), 2375-2378-180. https://doi.org/10.1155/S0161171203302315
  • DIMOVSKI, I. H., & HRISTOV, V. Z. (2005). COMMUTANTS OF THE POMMIEZ OPERATOR. International Journal of Mathematics and Mathematical Sciences, 2005(), 1239-1251-092. https://doi.org/10.1155/IJMMS.2005.1239
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  • Pop, O. T. (2007). About Some Linear Operators. International Journal of Mathematics and Mathematical Sciences, 2007(), 1286-1298. https://doi.org/10.1155/2007/91781
  • THAHEEM, A. B., & KHAN, A. R. (2004). ON SOME PROPERTIES OF BANACH OPERATORS. II. International Journal of Mathematics and Mathematical Sciences, 2004(), 2513-2515-194. https://doi.org/10.1155/S0161171204309233

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