alaoglu theorem造句
例句与造句
- Some of the notable mathematical concepts that bear Banach's name include Banach spaces, Banach algebras, the Banach Tarski paradox, the Hahn Banach theorem, the Banach Steinhaus theorem, the Banach-Mazur game, the Banach Alaoglu theorem, and the Banach fixed-point theorem.
- These include theorems about compactness of certain spaces such as the Banach Alaoglu theorem on the weak-* compactness of the unit ball of the dual space of a normed vector space, and the Arzel? Ascoli theorem characterizing the sequences of functions in which every subsequence has a cellular automata.
- Due to the constructive nature of its proof ( as opposed to the general case, which is based on the axiom of choice ), the sequential Banach Alaoglu theorem is often used in the field of partial differential equations to construct solutions to PDE or lower semi-continuity property in the weak * topology.
- It can be shown that every character on " A " is automatically continuous, and hence ? " A " is a subset of the space " A " * of continuous linear functionals on " A "; moreover, when equipped with the relative weak-* topology, ? " A " turns out to be locally compact and Hausdorff . ( This follows from the Banach Alaoglu theorem . ) The space ? " A " is compact ( in the topology just defined ) if and only if the algebra " A " has an identity element.
- It's difficult to find alaoglu theorem in a sentence. 用alaoglu theorem造句挺难的
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