共查询到19条相似文献,搜索用时 62 毫秒
1.
设X为Banach空间,B(X)为ZH 有界线性算子全体组成的代数,本文给出了B(X)上保k次幂弱连续线性满足射的完全刻划。 相似文献
2.
记X为复数域上无限维Banach空间,H为无限维复可分Hilert空间。本文给出B(X)上保持点谱的满射可加射具有的形式,以及B(H)上某些初等算子保点谱的充要条件。 相似文献
3.
Properties of composition operators induced by analytic self-maps on the unit disk of the complex plane in Hardy-Orlicz spaces are discussed. Results are concerned about boundedness, invertibility, compactness, Fredholm operators and spectra of composition operators. 相似文献
4.
MA Jipu 《数学年刊B辑(英文版)》1999,20(1):57-62
1.(1.2)InverseandLocalFinePropertyofaFamilyofOperatorsTxLetEandFbebothBanachspaces,andB(E,F)thesetofallboundedlinearoperatorsfromEintoFAnoperatorT B(F,E)issaidtobea(1.2)inverseofTifTT T=TandT TT =T .IfT satisfiesonlythefirstcondition,thenT issaidtobe... 相似文献
6.
BinayakS.Choudhury 《分析论及其应用》2003,19(2):99-107
In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of three random operators. The result is also an extersion of a known theorem in the corresponding non-random case. 相似文献
7.
In this paper, we discuss the multilinear commutator of θ-type Calderón Zygmund operators, and obtain that this kind of multilinear commutators is bounded from Lp(Rn) to Lq(Rn), from Lp(Rn) to Triebel-Lizorkin spaces and on certain Hardy type spaces. 相似文献
8.
记B(X)为复Banach空间X上有界线性算子全体所成的Banach代数,本文讨论B(X)上把一秩算子映为最多一秩的算子的弱连续线性映射,给出了这种映射所具有的形式,并由此得到B(X)上保秩线性映射,保谱线性映射以及保正线性映射的一些表示定理。 相似文献
9.
JiangYinsheng LiuMingju 《逼近论及其应用》2002,18(1):51-57
The authors esstablish the boundedness on homogeneous weighted Herz spaces for a large class of rough operators and their commutators with BMO functions.In particular ,the Cadderon-Zygmund singular integrals and the rough R.Fefferman singular integral operators and the rough Ricci-Stein oscillatory singular integrals and the corresponding commutators are considered. 相似文献
10.
COMPOSITION OPERATORS ON BERGMAN SPACES*** 总被引:1,自引:0,他引:1
The authors obtain function theoretic characterizations of the compactness on the Standard weighted Bergman spaces of the two operators formed by multiplying a composition operator with the adjoint of another composition operator. 相似文献
11.
§1. Introduction and Statement of ResultsThe study of the geometry of matrices was initiated by Hua [11–18] in the middle oftwenty century. In this geometry, the points of the space are a certain kind of matricesof a given size (rectangular matrices, symmetric matrices, Hermitian matrices, etc.). Witheach such space of matrices, we associate a group of motions. The main problem is tocharacterize this group by a geometric invariant called adjacency (see [23]). Recently, someauthors have gen… 相似文献
12.
本文讨论了Bergman空间L1a(D)中Toeplitz和Hankel算子的w 紧性 ,得到与L2 a(D)上Toeplitz、Hankel算子紧性类似的某些结果 相似文献
14.
设 OPp( f )是 Lp( Rn) N( 1≤ p <∞ )中具有象征 f∈ Smp,0 的常系数拟微分算子 ,其中f( ζ)≡ ( fij( ζ) )是一个 N× N矩阵且 fij∈ C∞ ( Rn) .我们证明当象征 f 和它的导数满足某些增长条件时 ,OPp( f)在 Lp( Rn) N 中生成一个可微的正则半群 相似文献
15.
史应光 《数学物理学报(B辑英文版)》1995,(2)
MEANCONVERGENCEOFSOMEPOSITIVEOPERATORSShiYingguang(史应光)(ComputingCenter,ChineseAcademyofSciences,P.O.Box2719,Beijing100080,Ch... 相似文献
16.
设X和Y是无限维的复Banach空间,Φ是从B(X)到B(Y)保单位的线性满射.本文证明了Φ双边保算子的拟仿射性当且仅当Φ为同构或反同构;Φ双边保算子的值域稠性当且仅当Φ是同构. 相似文献
17.
设X和y是无限维的复Banach空间,φ是从B(X)到B(y)保单位的线性满射.本文证明了φ双边保算子的拟仿射性当且仅当φ为同构或反同构;φ双边保算子的值域稠性当且仅当φ是同构. 相似文献
18.
宋显花 《数学的实践与认识》2021,(3):182-185
设B(X)是维数大于等于3的复Banach空间X上有界线性算子全体构成的代数.设A∈B(X),若Ax = x,则称x∈X是算子A的固定点.Fix(A)表示A的所有固定点的集合.本文刻画了B(X)上保持算子的Jordan积的固定点的满射. 相似文献
19.
朱月萍 《数学物理学报(B辑英文版)》2003,23(4)
In this paper, the author gives a characterization of atomic Hardy spacesassociated to Schrodinger operators by using area functions, and hence gets the dual spacesof atomic Hardy spaces. 相似文献