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On the Stability of a Linear Functional Equation in Generalized quasi-Banach Spaces

机译:广义拟Banach空间中线性泛函方程的稳定性

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In this paper, we prove the generalized Hyers-Ulam- Rassias stability of the complex linear functional equation in complex generalized quasi-Banach spaces, and of the relative linear functional equation in complex generalized p-Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassiasȁ9; well known paper about stability of the linear mapping in Banach spaces.
机译:在本文中,我们证明了复广义拟Banach空间中复线性函数方程的广义Hyers-Ulam-Rassias稳定性,以及复广义p-Banach空间中相对线性泛函方程的广义Hyers-Ulam-Rassias稳定性。 Hyers-Ulam-Rassias稳定性的概念起源于Th。拉西亚斯(M. Rassias)9;关于Banach空间中线性映射的稳定性的著名论文。

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