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Results tagged with topological-vector-spaces
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user 46113
A topological vector space is a vector space $V$ over a topological field $\mathbb{K}$ (typically $\mathbb{K}=\mathbb{R}$ or $\mathbb{K}=\mathbb{C}$), together with a topology on $V$ such that vector addition and scalar multiplication are both continuous. Hilbert spaces and Banach spaces are examples of topological vector spaces.
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Projective limit of Fréchet reflexive spaces
I am reading this paper, constructing spaces of functions and distributions with exponential growth on Fréchet nuclear spaces and their dual.
Un théorème de dualité entre espaces de fonctions holomorp …
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Fréchet and DF spaces
Is there a canonical way to make a DF-space Fréchet while keeping the same vectorial structure? Or the converse? I've been looking in the classical books for locally convex spaces but haven't found an …
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Semi-reflexive dual
I am looking for an example of a semi-reflexive locally convex topological vector space, whose strong dual is not semi-reflexive. Is there some well-known example ?
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