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Set of Positive Sequences that Sum to 1 is Compact under Product Topology?

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#general-topology #compactness #product-space #weak-topology
85
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A weakly open subset of the unit ball of the Read's space $R$ (an infinite-dimensional Banach space) is unbounded.

Published on
#functional-analysis #banach-spaces #weak-topology #weak-lp-spaces
60
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Question about a projection and weak topology

Published on
#functional-analysis #weak-topology
46
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Element of weak closure by compact conditions

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#real-analysis #functional-analysis #weak-topology
123
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When does two random measures coincide in distribution?

Published on
#probability #random #weak-convergence #weak-topology
1.4k
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Unit ball in dual space is weak*separable

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#general-topology #functional-analysis #dual-spaces #separable-spaces #weak-topology
289
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Unit ball of the adjoint space of a separable Banach space is second-countable in the weak* topology.

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#functional-analysis #weak-convergence #banach-algebras #second-countable #weak-topology
85
Views

If $X$ is finite dimensional, what is an explicit metric inducing the weak topology on $X?$

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#real-analysis #functional-analysis #banach-spaces #weak-topology
552
Views

Mazur's theorem counterexample for the weak-$*$ topology

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#functional-analysis #banach-spaces #weak-topology
132
Views

Weak closed in Sobolev space

Published on
#functional-analysis #weak-topology
311
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Help understanding the weak topology on the dual of the Schwartz space?

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#functional-analysis #schwartz-space #cauchy-principal-value #weak-topology
62
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Finding a weak open neighbourhood of a Hilbert space with a certain property

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#general-topology #functional-analysis #hilbert-spaces #weak-convergence #weak-topology
49
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How to show $\hat{x}\in X^{**}$ without using $(X^*,wk^*)^*\subseteq X^{**}$?

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#general-topology #functional-analysis #normed-spaces #weak-topology
73
Views

Soft question - a subset of a Hilbert space endowed with subspace topology

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#general-topology #functional-analysis #soft-question #weak-topology
441
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How the norm-closed unit ball of $c_0$ is not weakly compact?

Published on
#functional-analysis #normed-spaces #weak-topology

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