本文選題：g-框架 + 對偶框架　； 參考：《北京工業(yè)大學(xué)學(xué)報》2017年09期

【摘要】：近似對偶框架的構(gòu)造比經(jīng)典對偶框架的構(gòu)造更為容易,而且可以導(dǎo)出幾乎同樣完美的重構(gòu)公式,在子空間框架(fusion框架)的背景下,給出了近似對偶g-框架的明確刻畫.作為應(yīng)用,證明了對于給定的一組近似對偶g-框架({Λ_n}_n,{Γ_n}_n),存在另一組近似對偶框架({Ψ_n}_n,{Υ_n}_n),使得T_ΛU_Γ=T_ΨU_Υ,其中T_Y和U_Y分別表示g-框架{Y_n}_n的準(zhǔn)框架算子與分析算子.
[Abstract]:The construction of the approximate dual frame is easier than that of the classical dual frame, and the almost equally perfect reconstruction formula can be derived. In the context of the subspace frame fusion), the explicit characterization of the approximate dual g- frame is given. As an application, it is proved that for a given set of approximately dual g- frames, there exists another set of quasi-frame operators and analysis operators for a given set of nearly dual g- (?)-_ _ _ T _ 蠄 _ 緯 _ T _ 蠄 _ u _ 緯, where TY and UY denote the quasi frame operator and the analytical operator of the g-frame {Yn} n, respectively, in which TY and UY denote the quasi frame operator and the analytical operator of the g- frame {Yn} n, respectively.
【作者單位】： 北京工業(yè)大學(xué)應(yīng)用數(shù)理學(xué)院;
【基金】：國家自然科學(xué)基金資助項目(11271037)
【分類號】：O177
，

本文編號：2038046