1) order-bounded operato r
序有界算子
2) bounded operator
有界算子
1.
It is obtained that Iα is a bounded operator from Lp(Rn) into the Lorentz space Lq,∞(Rn).
证明了Iα是从Lp(Rn)到Lorentz空间Lq,∞(Rn)的有界算子,同时还证明了增长条件μ(S(x,r))≤Crn,x∈Rn,r>0是上述结论成立的必要条件。
2.
Some necessary and sufficient conditions are given for which M_(φ) is a bounded operator from B~α to B~β_0(respectively,from B~α_0 to B~β).
研究单位圆盘上的小B loch型空间B0α和B loch型空间Bβ之间的点乘算子M,在多种情况下给出了M是从Bα(B0α)空间到B0β(Bβ)空间的有界算子的充分必要条件。
3.
This note proves that for every f∈C(\;X), the continuous functionu,u(t)=∫ t 0S(t-s)f(s) d s, t∈is a strong (classical) solution of the second inhomogeneous zero initial value problem u″=Au+f, in \, iff A is a bounded operator in X.
本文证明了 ,对每个 f∈ C([0 ,T];X) ,连续函数u,u(t) =∫t0 S(t-s) f (s) ds,t∈ [0 ,T]是二阶非齐次 0初值问题 u″=Au+f 的强解的充要条件是 :A是空间 X中的有界算子 。
3) ordered operator
有序算子
1.
It is shown that any symmetric Fuzzy relation being decomposable on an ordered operator is a compact Fuzzy relation.
证明了一切关于有序算子可分解的对称Ｆｕｚｚｙ关系均为紧Ｆｕｚｚｙ关系，从而表明此类Ｆｕｚｚｙ关系具有良好的‘传递’性质。
4) Well-bounded operator
良有界算子
1.
Well-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact intervals.
良有界算子是这样一类算子，它对于在某个紧区间上绝对连续的函数具有有界的函数演算。
2.
Shows that R(X),the class of Riesz operators,on a Σ1e type Banach space is equal to In(X),the ideal of inessential operators, so R(X) is a closed by operator norm,two-sided ideal in B(X) of co-dimension one;gives some properties of well-bounded operators on such spaces.
证明了Σe1型Banach空间X上黎斯算子类R(X)就等于非本性算子理想In(X),从而R(X)是B(X)中亏维为1的依算子范数闭的双侧理想;给出Σe1型Banach空间上良有界算子的一些性质。
5) ρ-bounded operator
ρ-有界算子
6) semibounded operator
半有界算子
1.
The semibounded operators in Menger PN spaces;
Menger PN空间上的半有界算子(英文)
补充资料：半有界算子
半有界算子
semi-bounded operator
一个半有界算子S总有一个具有同样下界c的半有界自伴扩张A(Fri改lriehs定理(Friedrichsthe。比m)).特别地，S和它的扩张有同样的亏指数(见亏值(de-fective value)).半有界算子〔脚面一b民奴曰。碑rat份;n。刃orpaH“，eu-“。面onepaT0p] Hilbert空间H上的一个对称算子(syrnr阴tricOPe功tor)s，对它存在一个数c使得对S的定义域中的所有向量义， (Sx，x))c(x，x).
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参考词条