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weak* - compactness

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#functional-analysis #linear-transformations #finance #topological-vector-spaces #weak-topology
360
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Unit ball has empty interior in weak-star topology.

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#functional-analysis #weak-topology
1.8k
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Strong closure vs. weak-* closure

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#banach-spaces #weak-topology
57
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Trying to understand definition of weak topology on normed vector spaces

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#normed-spaces #topological-vector-spaces #dual-spaces #locally-convex-spaces #weak-topology
66
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Proving continuity of a monotone map from a Banach space to its dual with the weak* topology

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#sequences-and-series #banach-spaces #weak-convergence #dual-spaces #weak-topology
280
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Metric on $M[0,1]$ the space of measures

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#functional-analysis #measure-theory #banach-spaces #weak-topology
224
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Every weak*-closed subspace of the dual space of a normed space is the range of an adjoint operator

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#functional-analysis #operator-theory #adjoint-operators #weak-topology
60
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How to show that $\lambda\in V^{**}$ is in the image of $V$ iff it is weak-* continuous?

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#functional-analysis #dual-spaces #weak-topology
424
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Weak closure of orthonormal basis in Hilbert space

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#functional-analysis #hilbert-spaces #weak-convergence #orthonormal #weak-topology
28
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Is $\text{ball}_{R}(X^{\ast})\cap\bigcap_{i\in I}\{x^{\ast}\in X^{\ast} | \ |x^{\ast}(x_i)|\leq r_i\}$ norm (or weak*) connected?

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#functional-analysis #normed-spaces #connectedness #dual-spaces #weak-topology
438
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Weak closure of orthonormal basis in Hilbert space (2)

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#hilbert-spaces #weak-convergence #orthonormal #nets #weak-topology
84
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Does every vector space with a weak topology contain a dense subspace which is a direct sum of real lines?

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#topological-vector-spaces #direct-sum #weak-topology
404
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Weaker and Stronger topologies (open sets, continuity and terminology)

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#general-topology #functional-analysis #weak-topology
55
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The bidual of a Banach space

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#functional-analysis #banach-spaces #weak-topology
38
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Show that : $B_1(0,L^\infty((\Omega,\mathcal{F},\mathbb{P})))$ is compact in the weak topology $\sigma(L^1,L^\infty)$.

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#functional-analysis #weak-topology

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