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i want to know if s_0 is strictly less than 1 in the the given inequality of $t^{-1}x=s_0 $?

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#functional-analysis #topological-vector-spaces
50
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A topological vector space is separated if and only if $\{0\}$ is closed

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#general-topology #topological-vector-spaces
51
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closed convex hull, closure of convex hull and convex hull of closure

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#topological-vector-spaces #convex-hulls
39
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Final topology coinduced by topological vector spaces

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#general-topology #topological-vector-spaces #locally-convex-spaces
908
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Example of a point that is not the limit of any sequence in a connected topological space

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#general-topology #topological-vector-spaces #schauder-basis
60
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Dual of completion and weak$^*$-topology

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#general-topology #functional-analysis #normed-spaces #weak-convergence #topological-vector-spaces
55
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Dual of topological vector space

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#functional-analysis #topological-vector-spaces
19
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general Convex set definition

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#topological-vector-spaces #convex-geometry
15
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Extreme points of set of bounded measures satisfying continuity equation

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#partial-differential-equations #topological-vector-spaces #convex-geometry #cauchy-problem
19
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Open set in LF-space

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#functional-analysis #topological-vector-spaces
31
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Prove or disprove: if $X$ is a finite-dim TVS, $F\subset X$ is absorbing and convex, $\Omega\subset X$ is closed, and $0\in\text{int}(F)$...

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#functional-analysis #convex-analysis #topological-vector-spaces
36
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Proving a Proposition about linear functionals on topological vector spaces.

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#general-topology #functional-analysis #topological-vector-spaces
62
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Exercise regarding finite dimensional topological vector spaces

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#general-topology #functional-analysis #topological-vector-spaces
59
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How to prove that the Gauge is a norm? Brezis's hint 1.8

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#functional-analysis #analysis #topological-vector-spaces
37
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Does metric vector space imply topological vector space?

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#functional-analysis #topological-vector-spaces

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