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Balancing convex absorbing neighborhoods

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#general-topology #convex-analysis #topological-vector-spaces #locally-convex-spaces
443
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Compactness and dimensionality.

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#general-topology #functional-analysis #soft-question #compactness #topological-vector-spaces
285
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Interpretation of lemma: $f\in L^{1}_{loc}(\Omega)\ st\ \int f\phi=0\: \forall\phi\in\mathcal{D}(\Omega)\ \Rightarrow f=0\ in\ L^{1}_{loc}(\Omega)$

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#functional-analysis #distribution-theory #convolution #topological-vector-spaces
251
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The notion of basis in infinite dimensional (topological) vector spaces

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#linear-algebra #functional-analysis #topological-vector-spaces #schauder-basis #hamel-basis
37
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Compactness implies total boundedness in any topological vector space?

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#functional-analysis #topological-vector-spaces
56
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Let E be a topological vector space, $M\subset E$ such that: $x\in M^{\perp}\Rightarrow x=0\ in\ E'\subset M'$. What about M?

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#functional-analysis #hilbert-spaces #topological-vector-spaces #dual-spaces
168
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Simply connected closed subspace of Banach space is a retract

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#general-topology #banach-spaces #topological-vector-spaces
30
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Confusion: Tensor norm between LCSs

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#functional-analysis #tensors #topological-vector-spaces #locally-convex-spaces
80
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$\ell^2$ is a projective limit in the Category of locally convex spaces?

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#limits #category-theory #topological-vector-spaces #direct-sum #locally-convex-spaces
219
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Definition of continuous representation of topological group

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#general-topology #continuity #representation-theory #topological-groups #topological-vector-spaces
75
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Linear Combinations of a Dense Set

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#vector-spaces #topological-vector-spaces #locally-convex-spaces
28
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Must every TVS have a bounded set?

Published on
#topological-vector-spaces
154
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Concrete example of a dense Hamel basis of $C[a,b]$?

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#functional-analysis #banach-spaces #topological-vector-spaces
44
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$C^2$ functions is an open subset of $C^0$?

Published on
#real-analysis #general-topology #functional-analysis #topological-vector-spaces
111
Views

Characterization of the closure of a subspace of a dual space by bounded nets

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#functional-analysis #reference-request #banach-spaces #topological-vector-spaces

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