有关π空间可测场的若干性质

SOME FROPERTIES OF π SPACES MEASURABLE FIELD

本文给出了π空间可测场及定常场上可测矢场的刻划和π空间可测场的积分空间上的一种收敛性,以及π空间可测场的张量积的性质。这些结果对进一步讨论不定度规空间上的算子可测场将是有用的。

In this paper, we give characteristic properties of measurable vector field on the spaces mea-surable field and definite constant field,and a convergence on the integrating space of specs measurable field, and also properties of tensor product of spaces measurable field. These results are very useful to research of operator measurable field on the indefinite inner product space.