共查询到20条相似文献,搜索用时 109 毫秒
1.
Yang Wenshan 《高等学校计算数学学报(英文版)》2000,9(1):5-18
1 IntroductionLetXbeacompactHausdorffspace ,withC(X)thespaceofcontinuousfunctionsdefinedonX ,andletM C(X)benonempty.LetF(x ,y) :X×R →Rbeanon negativefunction ,andconsiderthefollowingminimizationproblem :findy∈Mtominimize‖F(.,y )‖ ,(1)where‖F (.,y )‖ =supx∈XF(x ,y(x) ) .Them… 相似文献
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Jin Qinian 《高等学校计算数学学报(英文版)》2000,9(1):111-120
1 IntroductionLetA :X→YbeaboundedlinearoperatorbetweenHilbertspacesXandY ,andletA de notetheMoore PenrosegeneralizedinverseofA (cf.[4 ]) .Thispaperconcernstheresolutionofthegeneralizedsolutionx :=A y0 oftheequationAx=y0 (1.1)withy0 ∈D(A ) :=R(A) +R(A) ⊥,whereD(A )andR(A)denot… 相似文献
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Lagrange Interpolation on a Sphere 总被引:1,自引:0,他引:1
§ 1.Introduction LetnbeanonnegativeintegerandS ={(x ,y ,z)∈R3 |x2 + y2 +z2 =1 }betheunitsphereinR3 .P( 2 )n andP( 3 )n denotethespaceofallbivariatepolynomialsoftotaldegree≤nandthespaceofalltrivariatepolynomialsoftotaldegree≤nrespectively ,i.e .P( 2 )n =∑0≤i+j≤naijxiyj|aij ∈R ,P( 3 … 相似文献
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A New Class of Banach Spaces with Uniform Normal Structure 总被引:2,自引:0,他引:2
§ 1.Introduction LetXbeanormedlinearspace ,andletS(X) ={x∈X :x =1 }betheunitsphereofX .In 1 94 8,BrodskiiandMilman[1]introducedthefollowinggeometricconcept: Definition 1 ABounded ,convexsubsetKofaBanachspaceXissaidtohavenormalstructureifeveryconvexsubsetHofKthatconta… 相似文献
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§ 1.ProblemandAssumptions Thispaperdealswiththesolutionsofthefollowingdifferentialinclusionproblem :Au∈f(x,u) ,x∈Ω ;u=0 ,x∈ Ω ,(1 )whereAu(x) =-∑Ni=1Di[ai(x ,Du(x) ) ] ,Ω RNisaboundeddomainwithpiecewiseLipschitzboundary Ω ,Du =(D1u ,D2 u ,… ,DNu) ,Diu = u xi,i=1 ,2 ,… ,N ,andf:Ω×R→ 2 Risa… 相似文献
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Inthispaper,wehaveobtainedthefollowingtheorems.Theorem1 Letφ(x)beaincreasingfunctionon[0,+∞),φ(x)→+∞andφ(x)xbeno-increasing(Whenxislargeenough),andletBbeaseparableBanachspace,XbeaB-valuedrandomvariable,ifi)X∈WM20ii)Xτ-EXτ∈CLT,τ>0,whereXτ=XI{yXy≤τ}ii… 相似文献
7.
§ 1.Introduction Letabeameasurablefunction ,bea φ∈S(R)nonnegativefunction ,and 0 <r <∞ .Definecommutatorsasfollows :Cra( f) (x) =supx∈Q1|Q|∫Q|a(x) -a( y) |r|f( y) |dy ,( 1 .1 )andΦra( f) (x) =supε>0∫Rn|a(x) -a( y) |rφε( |x- y|)|f( y) |dy ,( 1 .2 )whereQdenotesacubeandφε(t) =1εnφ tε .Thesetwooperat… 相似文献
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§1. BasicDefinitionsLetXandYbesets,foragivingmappingf:X→Y,x|→y=f(x),amappingfonpowersetcanbeconductedbyf:f:P(X)→P(Y),A|→B=f(A)={y|x∈A,y=f(x)}. Notethatabinaryoperationisaspecialmappingonsets.GivenabinaryoperationonsetXsuchthat::X×X→X, (x,y)|→x… 相似文献
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§ 1 IntroductionConsiderthefollowingnonlinearoptimizationproblem :minimizef(x)subjecttoC(x) =0 , a≤x≤b ,( 1 .1 )wheref(x) :Rn→R ,C(x) =(c1(x) ,c2 (x) ,...,cm(x) ) T:Rn→Rm aretwicecontinuouslydifferentiable,m≤n ,a ,b∈Rn.Trustregionalgorithmsareveryeffectiveforsolvingnonlinearoptimi… 相似文献
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1 IntroductionForsolvingstiffinitialvalueproblemsforsystemsofODEsy′=f(y) ,y(t0 ) =y0 ,t0 <t≤T ,y0 ,y∈Rm,f :Ω Rm →Rm (1 .1 )manyparticularone blockmethodsoftheformYn+1= AYn+h( B0 F(Yn) + B1F(Yn+1) ) , A =A Im, Bi=Bi Im,A ,Bi∈Rr×r,Yn =(YTnr,… ,yT(n+1)r- 1) T,F(Yn) =(fT(ynr) ,… ,fT(y(n+1)r- 1) ) T,yj≈ y(tj) ,… 相似文献
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We give a necessary and sufficient condition for the nilpotent operators to be similiar to irreducible operators, and give
an answer to D. A. Herrero Conjectures for nilpotent operators. 相似文献
13.
Julio Flores 《Journal of Mathematical Analysis and Applications》2009,354(2):657-663
The notion of disjointly homogeneous Banach lattice is introduced. In these spaces every two disjoint sequences share equivalent subsequences. It is proved that on this class of Banach lattices the product of a regular AM-compact and a regular disjointly strictly singular operators is always a compact operator. 相似文献
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主要研究了T是广义弱亚正规算子时,T~t是拟正规算子的充要条件是T是拟正规算子.并且举例说明了存在非次正规的广义弱亚正规算子T使得T~t是次正规的. 相似文献
17.
Let and let the Bessel operator defined on . We show that the oscillation and -variation operators of the Riesz transform associated with are bounded on BMO , where and . Moreover, we construct a -atom as a counterexample to show that the oscillation and -variation operators of are not bounded from to . Finally, we prove that the oscillation and the -variation operators for the smooth truncations associated with Bessel operators are bounded from to . 相似文献
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We discuss the possibility of applying linear structures for solving nonlinear differential equations. 相似文献
20.
Mustapha Raïssouli 《Linear and Multilinear Algebra》2013,61(9):1153-1168
In this paper we extend the stability and stabilizability concepts from the case that the variables are positive real numbers to the case that the variables are positive linear operators. Since the algebra of bounded linear operators is not commutative, such extension does not appear to be obvious. As applications, iterative operator algorithms, converging to some operator means, are discussed. 相似文献