摘要
设ｉＡｊ（１≤ｊ≤）是有界Ｃ<sub>０</sub>群的可交换生成元，Ｐ（Ａ）＝∑<sub>｜</sub>μ｜≤２ａ<sub>μ</sub>Ａ<sup>μ</sup>（Ａ<sup>μ</sup>＝Ａ<sub>１</sub><sup>μ</sup>…Ａ<sub>ｎ</sub><sup>μ</sup>ｎ）如果Ｐ是弱椭圆的且其实部是上有界的，则我们证明Ｐ（Ａ）生成一个Ｃ<sub>０</sub>半群．
Let iAj (1≤j≤n) be commuting generators of bounded C_0-groups, P(A)=sum form ｜μ｜≤2aμA~μ(A~μ＝ A_1~μ1…A_n~μn). If P is weakly elliptic and the real part of P is bounded above, we show that P(A) generates a C_0-semigroup.
出处
《应用泛函分析学报》
CSCD
1999年第1期40-44,共5页
Acta Analysis Functionalis Applicata
基金
the National Science Foundation of China
Fok Ying Tung Education Foundation
Excellent Young Teachers of China
