具有可数向量空间基的巴拿赫空间的自反性
Reflexivity of a Banach Space with a Countable Vector Space Basis
摘要：
在实域或复域上的几乎所有函数空间和序列空间，在实践中作为赋范完备线性空间（巴拿赫空间）的例子出现，都是自反的。这些Banach空间与相应的巴拿赫空间上的连续线性泛函空间是对偶的。对于这些巴拿赫空间中的每一个，存在可数向量空间基，这是负责它们的自反性。本文给出了具有可数向量空间基的巴拿赫空间自反性的一个具体判据。
英文摘要：
All most all the function spaces over real or complex domains and spaces of sequences, that arise in practice as examples of normed complete linear spaces (Banach spaces), are reflexive. These Banach spaces are dual to their respective spaces of continuous linear functionals over the corresponding Banach spaces. For each of these Banach spaces, a countable vector space basis exists, which is responsible for their reflexivity. In this paper, a specific criterion for reflexivity of a Banach space with a countable vector space basis is presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
