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15
318
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Closedness of the sum of two cones

Published on
#topological-vector-spaces #convex-geometry
27
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Show that : $ \|A\|=\sup_{x^*\in B^*}{s(x^*|A)} $

Published on
#functional-analysis #topological-vector-spaces #dual-spaces #weak-topology
41
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Topological Vectorial Space, Existence of a neighborhood

Published on
#functional-analysis #topological-vector-spaces
42
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How do I show that for an open, nonempty subset $A$ of a topological vector space $V$ is convex?

Published on
#algebraic-topology #vector-spaces #convex-analysis #topological-vector-spaces
205
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Conclude that the following topological vector space is not first-countable

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#general-topology #functional-analysis #topological-vector-spaces #locally-convex-spaces #first-countable
29
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Existence of a continuously differentiable function with prescribed properties

Published on
#derivatives #topological-vector-spaces
37
Views

Can any two points in an open and connected subspace of a locally convex t.v.s. be connected by a continuously differentiable path?

Published on
#connectedness #topological-vector-spaces #path-connected
99
Views

On a result of Mazur about convergence in locally convex spaces

Published on
#functional-analysis #convex-analysis #weak-convergence #topological-vector-spaces #locally-convex-spaces
134
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Is a Banach space a complete topological vector space?

Published on
#cauchy-sequences #topological-vector-spaces #nets
123
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Kernel of a continuous linear transformation $T$ on a topological vector space $X$

Published on
#linear-algebra #functional-analysis #topological-vector-spaces
37
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Definition of Local Convex Spaces

Published on
#functional-analysis #topological-vector-spaces #locally-convex-spaces
138
Views

Rudin's Functional Analysis Theorem 1.41

Published on
#topological-vector-spaces
138
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Is a topological vector space that is $T_0$ already $T_2$?

Published on
#general-topology #functional-analysis #topological-vector-spaces
78
Views

Conditions for extending a restricted vector bundle of an embedded submanifold to the whole manifold

Published on
#manifolds #smooth-manifolds #vector-bundles #topological-vector-spaces
75
Views

Is the space of simple predictable processes topologized by uniform convergence metrizable?

Published on
#general-topology #stochastic-processes #stochastic-calculus #topological-vector-spaces

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