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15
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Smooth vectors in closed invariant subspace

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#representation-theory #lie-groups #lie-algebras #locally-convex-spaces #locally-compact-groups
270
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How can I convert "norms" using the bijection between $\mathbb{N}$ and $\mathbb{Z}^{d}$?

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#real-analysis #sequences-and-series #functional-analysis #convergence-divergence #locally-convex-spaces
65
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Explicit set of seminorms on $C^\infty_c(\mathbb R)$

Published on
#distribution-theory #topological-vector-spaces #locally-convex-spaces
97
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What is the finest locally convex topology that coincides with the weak one on equicontinuous sets

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#general-topology #functional-analysis #topological-vector-spaces #locally-convex-spaces
175
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Lemma of Farkas, as a an application of Separation Theorems of Hahn Banach

Published on
#functional-analysis #convex-analysis #locally-convex-spaces #hahn-banach-theorem
159
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The relative interior of all faces of a closed and bounded set is a partition of that set.

Published on
#general-topology #convex-analysis #locally-convex-spaces
155
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In a finite-dimentional Hausdorff locally convex vector space, how to prove there exists a seminorm which is a norm?

Published on
#functional-analysis #normed-spaces #topological-vector-spaces #locally-convex-spaces
86
Views

Jordan decomposition functional $C^*$-algebra

Published on
#c-star-algebras #topological-vector-spaces #convex-hulls #locally-convex-spaces
27
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Does a family of seminorm induce by a vector space isomorpism turn one of this vector space into a frechet space?

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#general-topology #functional-analysis #topological-vector-spaces #locally-convex-spaces
120
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Why the space of section of a vector bundle is complete?

Published on
#vector-bundles #complete-spaces #connections #locally-convex-spaces
41
Views

Continuity of the support functional

Published on
#functional-analysis #banach-spaces #topological-vector-spaces #locally-convex-spaces
167
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In a locally convex topological vector space closed convex sets are intersection of closed half-spaces.

Published on
#locally-convex-spaces #hahn-banach-theorem
42
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Understanding a proof on the convexity and absorbent property of non-negative gauge function

Published on
#functional-analysis #vector-spaces #convex-analysis #locally-convex-spaces
189
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Are these two "Mazur's" theorems the same?

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#general-topology #functional-analysis #convex-analysis #convex-geometry #locally-convex-spaces
219
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About properties of inductive limit of Fréchet spaces

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#real-analysis #functional-analysis #convex-analysis #distribution-theory #locally-convex-spaces

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