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15
101
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Unique vector space topology on $F^n$?

Published on
#topological-vector-spaces #topological-rings
46
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Is this condition redundant (neighborhood filter for TVS in Trèves)?

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#functional-analysis #solution-verification #topological-vector-spaces #filters #neighbourhood
58
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The closed ball is contained in the closure of open ball

Published on
#general-topology #metric-spaces #topological-vector-spaces
44
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Aggregate first-order stochastic dominance

Published on
#probability-theory #measure-theory #probability-distributions #stochastic-calculus #topological-vector-spaces
74
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Rudin functional analysis theorem 1.14 part a

Published on
#functional-analysis #topological-vector-spaces
162
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Is there a infinite dimensional topological vector space with the weight of topology larger than the algebraical dimension?

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#linear-algebra #general-topology #functional-analysis #set-theory #topological-vector-spaces
102
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A topological vector space with cardinality smaller than the weight of topology

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#linear-algebra #general-topology #functional-analysis #set-theory #topological-vector-spaces
114
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Doubts about family of seminorms on space of test functions

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#functional-analysis #proof-explanation #distribution-theory #topological-vector-spaces
70
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Is it true that the intersection of two dense subspace of a linear normed space is also dense provided that one of them is of finite codimension?

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#functional-analysis #topological-vector-spaces #dense-subspaces
21
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For any (not necessarily continuous) linear form $f$ and any convex set $C$, $\overline C\subseteq f^{-1}(\overline{f(C)})$

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#continuity #convex-analysis #topological-vector-spaces #locally-convex-spaces
124
Views

Prove that the bounded set $\left \{ u \in End(E) | u(K) \subset K \right \}$ is closed.

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#linear-algebra #general-topology #linear-transformations #normed-spaces #topological-vector-spaces
70
Views

Is it possible for a sequence in $L^p$ to converge to an element of $L^q$ ($q>p$) w.r.t. the $q$-norm?

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#functional-analysis #convergence-divergence #banach-spaces #lp-spaces #topological-vector-spaces
28
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Different definitions of locally boundedness of TVS

Published on
#functional-analysis #topological-vector-spaces
96
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TVS Completion of Banach space wrt weak topology

Published on
#functional-analysis #topological-vector-spaces #weak-topology
46
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Prove that integration is continuous under weak star topology

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#general-topology #functional-analysis #measure-theory #topological-vector-spaces

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