Complex powers of almost C-nonnegative operators
Complex powers of almost C-nonnegative operators
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DOI：
10.18532/caam.95124
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发表时间：
2012-03
期刊：
影响因子：
--
通讯作者：
Chuang Chen;M. Kostic;Miao Li
中科院分区：
文献类型：
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作者：
Chuang Chen;M. Kostic;Miao Li
在序列完备的局部凸空间中构造了几类闭线性算子的复幂，包括几乎$C$-非负算子和$(a,b，C)$-非负算子（$a,\ b\ In {\mathbb R}$）。一种相对初级的方法，它是基于A. Balakrishnan [A。李晓明，李晓明，李晓明，等。闭算子的分数阶幂及其生成的半群[j] .数学学报，10(2)(1960):419-437。马丁内斯，M. Sanz， A. Redondo，几乎非负算子的分数阶幂，分数。微积分达成。将使用第8号文件（2005）201-230]。我们提供了几个有趣的应用程序。
In this paper, we construct the complex powers of some classes of closed linear operators including almost $C$-nonnegative operators and $(a,b,C)$-nonnegative operators ($a,\ b\in {\mathbb R}$) in the setting of sequentially complete locally convex spaces. A relatively elementary approach which is based on the ideas of A. Balakrishnan [A. V. Balakrishnan, Fractional powers of closed operators and the semigroups generated by them, Pacific J. Math. 10 (2) (1960) 419-437] and C. Martinez, M. Sanz, A. Redondo [C. Martinez, M. Sanz, A. Redondo, Fractional powers of almost non-negative operators, Fract. Calculus Appl. Anal. 8 (2005) 201-230] will be used. We provide several interesting applications.