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| ON THE TAYLOR'S JOINT SPECTRUM OF 2n-TUPLE($L_{A},R_{B}$) |
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Citation： |
Li Shaokuan,Ji Yao.ON THE TAYLOR'S JOINT SPECTRUM OF 2n-TUPLE($L_{A},R_{B}$)[J].Chinese Annals of Mathematics B,1989,10(1):33~37 |
| Page view： 748
Net amount： 741 |
Authors： |
Li Shaokuan; Ji Yao |
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| Abstract： |
Let $\[A = ({A_1}, \cdots ,{A_n})\]$ and $\[B = ({B_1}, \cdots {B_n})\]$ be double commuting n-tuples of operators
on Hilbert space H and let $\[{L_{{A_i}}}\]$ and $\[{R_{{B_j}}}\]$ denote the left and right multiplications induced by
$\[{A_i}\]$ and $\[{B_j}\]$ respectively. The following results are proven: $$\[{S_p}({L_{A,}}{R_B}) = {S_p}(A) \times {S_p}(B),{S_{{p_e}}}({L_A},{R_B}) = {S_{{p_e}}}(A) \times {S_p}(B) \cup {S_p}(A) \times {S_{{p_e}}}(B).\]$$ |
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