Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE TAYLOR-BOWDER SPECTRUM

  • Jeon, In-Ho (Department of Mathematics, Sung Kyun Kwan University) ;
  • Lee, Woo-Young (Department of Mathematics, Sung Kyun Kwan University)
  • Published : 1996.10.01
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Abstract

In this paper we extend the Zemanek's characterization of the Browder spectrum for a commuting n-tuple operators in $L(H)$ and show that if $T = (T_1, \cdots, T_n)$ is Browder then there exists an n-tuple $K = (K_1, \cdots, K_n)$ of compact operators and an invertible commuting n-tuple $(S_1, \cdots, S_n)$ for which $T = S + K$ and $S_i K_j = K_j S_i$ for all $1 \leq i, j \leq n$.

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