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Do these Topologies define the same open sets?

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#functional-analysis #locally-convex-spaces
56
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connect and arcwise-connect in locally convex space

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#connectedness #locally-convex-spaces
194
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Proof of property of unique nearest point equal to convex.

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#partial-differential-equations #convex-analysis #locally-convex-spaces #convex-geometry
280
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Why is $x\in X$ a weak star continuous linear functional in the dual?

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#continuity #normed-spaces #locally-convex-spaces
410
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Does the operation of completion preserve injectivity?

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#functional-analysis #topological-vector-spaces #locally-convex-spaces
473
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Product topology on a product space of normed spaces is normable iff the product is finite

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#general-topology #functional-analysis #normed-spaces #locally-convex-spaces
344
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Day's fixed point theorem

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#group-theory #locally-convex-spaces #amenability
1.9k
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What is Convex about Locally Convex Spaces?

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#functional-analysis #soft-question #terminology #banach-spaces #locally-convex-spaces
194
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can I get weak convergence in sobolev spaces from convergence of distributions

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#sobolev-spaces #distribution-theory #locally-convex-spaces
797
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A characterization of tempered distributions

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#real-analysis #functional-analysis #distribution-theory #topological-vector-spaces #locally-convex-spaces
109
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Metrisability of locally convex spaces/weak topology

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#functional-analysis #locally-convex-spaces
79
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discrete convexity arising in a simple discrete optimization problem

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#optimization #convex-analysis #integer-partitions #discrete-optimization #locally-convex-spaces
1k
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Dual space $E'$ is metrizable iff $E$ has a countable basis

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#real-analysis #general-topology #functional-analysis #topological-vector-spaces #locally-convex-spaces
3.5k
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Definition of the convolution with tempered distributions and Schwartz function

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#functional-analysis #fourier-analysis #distribution-theory #locally-convex-spaces
310
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Is it true that the closed convex hull of a compact subset of the dual equipped with the w*-topology is compact?

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

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