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Hausdorff separation for the definition of Mackey topology

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#functional-analysis #banach-spaces #topological-vector-spaces #nonlinear-analysis
44
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Meaning of injective tensor product

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#tensor-products #topological-vector-spaces
54
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Topology of convergence in measure is not compatible with the vector space structure of measurable functions

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#functional-analysis #measure-theory #topological-vector-spaces #measurable-functions
69
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Does the projective tensor product obey a tensor-hom adjunction?

Published on
#topological-vector-spaces
36
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Can I define boundedness in a topological vector space w.r.t. arbitrary point?

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#functional-analysis #topological-vector-spaces
66
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Dual space of a topological vector space that doesn't separate points?

Published on
#topological-vector-spaces #dual-spaces
119
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Local basis criterion for topological group / vector space?

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#general-topology #topological-groups #topological-vector-spaces
88
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Finding a compact set to apply the Hahn-Banach separation theorem in a locally convex topological vector space

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#real-analysis #general-topology #functional-analysis #topological-vector-spaces #hahn-banach-theorem
41
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Proof that every $T_0$ Topological Vector Space is regular

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#general-topology #topological-vector-spaces #separation-axioms
102
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Is multiplication by a scalar an open map in topological groups?

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#abelian-groups #topological-groups #rational-numbers #topological-vector-spaces #open-map
64
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Theorem 1.36 in Rudin's Functional Analysis

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#functional-analysis #proof-explanation #topological-vector-spaces
80
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A characterization of closure of a certain class of sets in $\mathbb{R}^n$

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#real-analysis #general-topology #analysis #normed-spaces #topological-vector-spaces
51
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Must a linear functional on a TVS with a sequentially closed kernel be sequentially continuous?

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#linear-algebra #functional-analysis #continuity #topological-vector-spaces
212
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Why is a certain projective limit of weighted symmetric Fock space, namely $\bigcap\limits_{\tau \in T, p\ge 1 } \mathcal{F}(H_\tau,p)$, separable

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#functional-analysis #topological-vector-spaces #locally-convex-spaces
95
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Counterexample concerning Rudin's definition of open sets in $\mathscr D(\Omega)$

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#functional-analysis #distribution-theory #topological-vector-spaces #function-spaces

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