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15
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Understanding a proof about the form of continuous linear functionals on L(X,Y)

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#functional-analysis #operator-theory #topological-vector-spaces
44
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Question on nowhere denseness: Why do we include the closure in the definition?

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#real-analysis #general-topology #functional-analysis #elementary-set-theory #topological-vector-spaces
244
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John Horváth - Topological Vector Spaces and Distributions Volume 2

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#general-topology #functional-analysis #reference-request #distribution-theory #topological-vector-spaces
408
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A finite dimensional topological vector space $V$ can be equipped with a norm $\|\cdot\|$ which gives the same topology.

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#general-topology #normed-spaces #topological-vector-spaces
208
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Example of a non compactly generated complete locally convex topological vector space over $ \mathbb{R}$

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#general-topology #functional-analysis #category-theory #examples-counterexamples #topological-vector-spaces
128
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Definition - filter basis

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#general-topology #topological-vector-spaces #filters
368
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Finite-dimensional subspaces of TVSes

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#topological-vector-spaces
157
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Does equivalent norm imply the same order?

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#metric-spaces #normed-spaces #topological-vector-spaces
132
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On Köthe sequence spaces

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#sequences-and-series #functional-analysis #topological-vector-spaces #locally-convex-spaces
177
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Interesting non locally convex topological vector spaces

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#functional-analysis #soft-question #topological-vector-spaces
65
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In a topological vector space $E$ a set different from $\emptyset$ and from $E$ cannot be both open and closed.

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#general-topology #vector-spaces #topological-vector-spaces
47
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Krein-Milman in non locally convex space

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#functional-analysis #vector-spaces #topological-vector-spaces
198
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A filter that has no countable basis

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#general-topology #metric-spaces #topological-vector-spaces #filters
115
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Prove that the product of a family of topological vector space is Hausdorff space

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#general-topology #products #topological-vector-spaces
139
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A few questions about topologies on $\mathcal{C}^\infty_0 (\Omega)$

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#functional-analysis #distribution-theory #topological-vector-spaces

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