简介:本文给出了Hibert空间中正交基扰动的一个结果及一个实例。
简介:在Hilbert空间中满足Lipschitz连续的条件,用预解方程和不动点理论,在算子强单调的条件下,通过Mann迭代和收敛性分析证明了广义混合变分不等式解的问题。
简介:TheauthorsdefinethedirectionalhyperHilberttransformandgiveitsmixednormestimate.Thesimilarconclusionsforthedirectionalfractionalintegralofonedimensionarealsoobtainedinthispaper.Asanapplicationoftheaboveresults,theauthorsgivetheLp-boundednessforaclassofthehypersingularintegralsandthefractionalintegralswithvariablekernel.Moreover,asanotherapplicationoftheaboveresults,theauthorsprovethedimensionfreeestimateforthehyperRiesztransform.ThisisanextensionoftherelatedresultobtainedbyStein.
简介:LetS∞denotetheunitsphereinsomeinfinitedimensionalcomplexHilbertspace(H,<·,·>)Letz1,z2,…,z1bedistinctpointsonS∞Thispaperdealswithinterpolationofarbitrarydataonthezjbyafunctioninthelinearspanofthelfunctionswhenisasuitablefunctionthatoperatesonnonnegativedefinitematrices.Conditionsforthestrictpositivedefinitenessofthekernelareobtained.
简介:In[1-5],itwasinvestigaedtherealizationsofweightingpatternsinHilbertspaces.Thisnotedealswithdiscretesystemswhichhaveoperatorweightingpartterns.Theorems2-4arenecessaryandsufficientconditionsforJ-unitaryrealizationandforJ-selfadjoint
简介:获得了HilbertC^*-模之间的两个同构定理.作为推论,证明了C^*-代数上每个可数生成的HilbertC^*-模均稳定酉等价于A。
简介:Inthispaper,twoalgorithmsarepresentedforgeneratingtwocodescanlistsofanN-dimensionalHilbertcell,andaformalproofofthebackwardencodingalgorithmisgiven.Onthebasisoftheself-simi-laritypropertiesofaHilbertcurve,thispapergivesanovelalgorithmforgeneratingastaticevolvementruletablethroughanalyzingaHilbertcell.Bylookingupthestaticevolvementruletable,theN-dimensionalHilbertmappingsareefficientlyimplemented.
简介:Considerthepositived-dimensionallatticed+(d≥2)withpartialordering≤,let{XK;K∈d+}bei.i.d.randomvari-ablestakingvaluesinarealseparableHilbertspace(H,||·||)withmeanzeroandcovarianceoperator∑,andsetpartialsumsSN=∑K≤NXK,K,N∈d+.Undersomemomentconditions,weobtainthepreciseasymptoticsofakindofweightedinfiniteseriesforpartialsumsSNasε0byusingthetruncationandapproximationmethods.TheresultsarerelatedtotheconvergenceratesofthelawofthelogarithminHilbertspace,andtheyalsoextendtheresultsof(GutandSpǎtaru,2003).