论文标题
N-Hilbert Space中的广义Riesz代表定理
Generalized Riesz Representation Theorem in n-Hilbert space
论文作者
论文摘要
在B线性函数方面,已经证明了N-Hilbert空间中的Riesz代表定理。我们定义了b-sesquilinear在N-Hilbert空间中的功能,并建立了极化身份。正在讨论N-Hilbert空间中Schwarz不平等的广义形式。最后,已经开发了关于n-Hilbert空间中b-sesquilinear函数的Riesz表示定理的广义版本。
In respect of b-linear functional, Riesz representation theorem in n-Hilbert space have been proved. We define b-sesquilinear functional in n-Hilbert space and establish the polarization identities. A generalized form of the Schwarz inequality in n-Hilbert space is being discussed. Finally, a generalized version of Riesz representation theorem with respect to b-sesquilinear functional in n-Hilbert space have been developed.