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Is the dual space of all Radon measures the space of signed measures on a $\delta$-ring?

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#functional-analysis #measure-theory #topological-vector-spaces #locally-convex-spaces
71
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Bornological/Barrelled Operator-Topologies?

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#functional-analysis #topological-vector-spaces
1.3k
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Topology generated by a Family of Seminorms as a Initial Topology?

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#general-topology #functional-analysis #topological-vector-spaces
44
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Existence of particular functionals in a family of linear functionals

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#functional-analysis #topological-vector-spaces
179
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Closure of intersection with vector subspace

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#general-topology #functional-analysis #topological-vector-spaces
100
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Logic behind a proof in Topological Vector Spaces

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#real-analysis #general-topology #functional-analysis #self-learning #topological-vector-spaces
109
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Direct limits of locally convex spaces and embeddings

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#general-topology #topological-vector-spaces #locally-convex-spaces
225
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Do sequences fully specify the topology of $\mathcal{D}(\Omega)$ and $\mathcal{D}'(\Omega)$?

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#functional-analysis #distribution-theory #topological-vector-spaces
81
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Preserved properties through continuous linear maps

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#metric-spaces #compactness #topological-vector-spaces #locally-convex-spaces
108
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Every singelton is bounded in a topological vector space

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#general-topology #analysis #functional-analysis #topological-vector-spaces
167
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Is the 3d Schwartz space isomorphic to a subspace of the 1d Schwartz space?

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#functional-analysis #topological-vector-spaces #schwartz-space
1k
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How to show that the topology is compatible with the metric?

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#general-topology #functional-analysis #topological-vector-spaces
500
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Dual Spaces and Topological Vector Spaces

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#real-analysis #general-topology #functional-analysis #self-learning #topological-vector-spaces
448
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Dual Pairs, topology of weak convergence and weak* topology

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#functional-analysis #measure-theory #probability-theory #self-learning #topological-vector-spaces
52
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Trying to show that $(c_0, \| \cdot \|_s)$ is strictly convex, where $\| x \|_s = \underset{i = 1}{\overset{\infty}{\sum}} \frac{1}{2^i} | x_i |$

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#functional-analysis #operator-theory #convex-analysis #banach-spaces #topological-vector-spaces

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