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15
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Continuity of an infinite matrix

Published on
#functional-analysis #operator-theory #locally-convex-spaces
32
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Kernels of seminorms

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#functional-analysis #locally-convex-spaces
20
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For any (not necessarily continuous) linear form $f$ and any convex set $C$, $\overline C\subseteq f^{-1}(\overline{f(C)})$

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#continuity #convex-analysis #topological-vector-spaces #locally-convex-spaces
40
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Continuity wrt locally convex topology implies continuity wrt to at least one generating seminorm?

Published on
#general-topology #functional-analysis #locally-convex-spaces
70
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A line segment in the closure of a convex subset of a topological vector space

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#functional-analysis #topological-vector-spaces #locally-convex-spaces
70
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On relatively compact sets in the space of holomorphic functions

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#general-topology #functional-analysis #complex-analysis #compactness #locally-convex-spaces
39
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Metrizability of topology generated by a countable family of semi-norms

Published on
#real-analysis #general-topology #functional-analysis #analysis #locally-convex-spaces
291
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Motivation behind locally convex spaces, seminorms, and Frechet spaces

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#functional-analysis #soft-question #topological-vector-spaces #locally-convex-spaces #frechet-space
45
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Example of a LCS with a countably compact barrel

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#functional-analysis #analysis #topological-vector-spaces #locally-convex-spaces
38
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Final topology coinduced by topological vector spaces

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#general-topology #topological-vector-spaces #locally-convex-spaces
25
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Maximizing a Function with Cosine Terms and Scalar Parameters

Published on
#optimization #convex-optimization #maxima-minima #locally-convex-spaces
74
Views

Condition for showing families of seminorms generate same topology

Published on
#functional-analysis #locally-convex-spaces #frechet-space
50
Views

If $L$ is an interval and $C$ is convex, is $LC$ convex too?

Published on
#linear-algebra #convex-geometry #locally-convex-spaces
50
Views

$\ell^p(\mathbb{N})$ for $0 < p < 1$ is not locally convex (seminorms definition)

Published on
#functional-analysis #locally-convex-spaces
42
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Is every extreme point in a compact convex set contained in a defining supporting hyperplane?

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#functional-analysis #convex-analysis #compactness #convex-geometry #locally-convex-spaces

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