摘要
设G是一个赋范的黎斯空间,F是一个黎斯空间,作者证明:受Carleman算子控制的算子也是Carleman算子;序有界的Carleman算子是序闭的;如果T:G→F是Carleman算子,且|T|存在,则|T|也是Carleman算子。
Let G be a normed Riesz space and F be a Riesz space.The purpose of this paper is to show that if a Linear operator is dominated by a carleman operator,then it is also a Carleman operator; order bounded Carleman operator is order Closed;if T is a Carleman operator from G into F such thaf the modulus|T|of T exists,then|T|is also a Carleman operator.
