Fock型空间F_1上的平移不变子空间的酉等价

Unitary Equivalence of Translation Invariant Subspaces of the Fock Type Space F_1

考虑了Fock型空间F_1上的平移不变子空间的酉等价问题,主要结果是如果F_1的两个平移不变子空间作为子模酉等价,且其中之一具有形式(?)则它们必定相等,还讨论了空间F_1和F_g的关系,后者在物理学中有广泛的应用背景.

This paper considers the unitary equivalence of translation invariant subspaces of the Fock type space F1. The main result is that if two translation invariant subspaces of F1 are unitarily equivalent as submodules, and one of them is of the form span--{k=1∪∞eλkzPnk} , then they are necessarily equal. The relation between F1 and F9 is discussed, the latter of which has comprehensive applications in physics.