1) monotone extension
单调性扩张
2) single valued extension property
单值扩张性
1.
Describes some equivalent properties of the Riesz points of an operator by means of single valued extension property,Mbekhta subspace,ascent,descent,nullity,defect and the algebraic multiplicity;gives an example to illustrate the characteristic of Riesz points;generalizes one property of Mbekhta subspace mentioned by Schmoeger C.
从单值扩张性、M bekh ta子空间、升降指数、零维与亏维以及代数重数等方面来刻画算子谱集中的R iesz点,给出了若干实例深化对其特征刻画的认识,推广了Schm oeger C。
3) Single-valued extension property
单值扩张性
1.
tion,we investigated the single-valued extension property and the decomposability of opera-tor weighted shifts,The property of the operator sequence itself is investigated as well.
本文首先给出有界线性算子局部谱的两个估计式，进而，讨论了算子权移位的局部谱，作为应用，研究了算子权移位的单值扩张性、可分用性及算子序列自身的一个性质。
4) single_valued extension property
单值扩张性质
1.
In this paper, we use two subspaces introduced by Mbekhta M in 1987 to study the single_valued extension property of an operator T∈B(X) , where X is a complex Banach space.
利用MbekhtaM于 1987年介绍的两个子空间K(·)和H0 (·)来研究单值扩张性质 ,得到较文献 [1]中定理 10更为推广的结论 。
5) Semisimple extension
半单扩张
6) extension for the simple module
单模扩张
补充资料：极大扩张和极小扩张
极大扩张和极小扩张
maximal and minimal extensions
极大扩张和极小扩张匡.习的司出目.公油抽lex妇心.旧;MaKcl.Ma刀‘.oe H Mll.”M田.妇oe PaC山一Pe皿朋] 一个对称算子(s笋nr贺苗c opemtor)A的极大扩张和极小扩张分别是算子牙(A的闭包，(见闭算子(cfo“月。详mtor”)和A’(A的伴随，见伴随算子(呐。int opera.tor)).A的所有闭对称扩张都出现在它们之间.极大扩张和极小扩张相等等价于A的自伴性(见自伴算子(义休.adjoint operator))，并且是自伴扩张唯一性的必要和充分条件.A.H.J’Ior朋oB，B.c.lll户、MaR撰
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条