1) eventually norm-continuous semigroups
最终范数连续半群
1.
A was obtained new perturbation theorem for eventually norm-continuous semigroups on a Hilbert space.
主要给出了一个在Hilbert空间中最终范数连续半群的扰动定理。
2.
This dissertation studies the perturbation of eventually norm-continuous semigroups.
本文对最终范数连续半群的扰动进行比较系统的总结和研究。
3.
A new perturbation result on the Hilbert space for the eventually norm-continuous semigroups is obtained,which makes the perturbation of the semigroups more abundant.
在算子半群扰动的基础上,对一类型半群即最终范数连续半群的扰动进行了研究,得到了Hilbert空间中最终范数连续半群的一个新的扰动结果,使得半群扰动的结果更加丰富。
2) eventually norm-continuous semigroup
最终范数连续半群
1.
We discuss the solution of an operator equation which describes the characterization of eventually norm-continuous semigroups on a Hilbert space.
讨论描述希尔伯特空间最终范数连续半群特征的一个算子方程的解,给出这个解的一个显式表达式。
2.
Some properties of eventually norm-continuous semigroups｛T(t)｜t≥0｝ in Banach space for t>t_0(t_0≥0) was studied,and a spectral distribution properies for infinitesimal generators of eventually norm-continuous semigroups was got.
主要讨论了B anach空间中当t>t0(t0≥0)时,最终范数连续半群{T(t)t≥0}的性质,给出了最终范数连续半群无穷小生成元的一个谱分布性质。
3) eventually norm-continuous
最终范数连续
1.
We discuss relatively bounded perturbations of eventually differentiable and eventually norm-continuous semigroups on Bananch space.
讨论了Banach空间上的最终可微半群与最终范数连续半群的相对有界扰动,获得了两个新的扰动定理。
4) Eventual Norm continuity
最终范数连续性
5) norm continuous semigroup
范数连续半群
1.
in this paper we present a new charact Er Istic of norm continuous semigroups on a hilbert space and greatly simplify the Proof about the known characteristic.
给出 Hilbert空间中范数连续半群的一个新特征 ,同时极大地简化了已有结果的证
6) eventually continuous semigroup
依范连续半群
补充资料：强连续半群
强连续半群
strongly-continuous son!-group
强连续半群[s枷叼y一c佣“nu0lls，”‘.9代阅.;c翻‘即“enpep曰.Ha，no月yrPynna] Banach空间X上具有以下性质的一族有界线性算子T(t)，r>0: l)T(t+;)x=T(r)T(:)x，r，了>0，x6X; 2)函数tl~T(t)x对任何x〔X在(O，的)上连续. 当1)成立时，所有函数tl一T(t)x(x‘X)的可测性，且特别地它们的单边(右或左)弱连续性，蕴涵T(t)的强连续性.对一个强连续半群，有限数 田一r叹r一’]n 11T(‘)1卜，纯‘一’In llT(r)11称为该半群的型(勿详of the semi一gouP).这样，函数t卜，T(t)x的范数在的的增长不快于指数e‘『.强连续半群的分类是基于当t，O时它们的性态.如果有一个有界算子J使得当t一，O时}T(t)一川}，O，则J是一个投影算子且T(t)=Je‘月，其中A是与J交换的一个有界线性算子.在这情形T(t)关于算子范数是连续的.如果J=I，则T(t)=c‘滩，一的
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参考词条