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15
145
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Prove that E is reflexive.

Published on
#functional-analysis #weak-topology
120
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Polar sets and weak star topology

Published on
#functional-analysis #weak-topology
77
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Example of a set in $E'$ such that is convex and closed in the weak* topology $\sigma(E',E)$ that not is closed in weak topology $\sigma(E',E'')$

Published on
#functional-analysis #weak-topology
202
Views

Weak-$*$ sequential compactness of closed ball in bidual

Published on
#general-topology #functional-analysis #compactness #banach-spaces #weak-topology
119
Views

If normed space is infinite-dimensional then kernel is not trivial

Published on
#linear-algebra #functional-analysis #vector-spaces #weak-topology
143
Views

the subspace topology inherited weak topology is the same as the subspace topology inherited from $X$

Published on
#general-topology #weak-topology
105
Views

continuous function on weak topology

Published on
#general-topology #solution-verification #weak-topology
76
Views

Are open balls in the topological dual space $A^*$ weak-* open?

Published on
#general-topology #functional-analysis #normed-spaces #dual-spaces #weak-topology
156
Views

Proving that $L^1(X,M,\mu)$ is not reflexive

Published on
#real-analysis #measure-theory #lp-spaces #topological-vector-spaces #weak-topology
172
Views

Weak l.s.c. of $L^2$-norm on $W^{1,2}_0(\Omega)$

Published on
#functional-analysis #sobolev-spaces #weak-topology
87
Views

Show that a Banach space with certain assumptions must be finite dimensional

Published on
#real-analysis #functional-analysis #banach-spaces #weak-topology
33
Views

Sequence in weak and weak* topology

Published on
#functional-analysis #weak-topology
85
Views

Prove that $\sigma (E, E^\star) \boxtimes \sigma (F, F^\star) = \sigma \big (E \times F, (E \times F)^\star \big)$ for the product of weak topologies

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#general-topology #functional-analysis #solution-verification #topological-vector-spaces #weak-topology
163
Views

A simpler proof of $\sigma (E, E^\star)\boxtimes\sigma (F, F^\star)=\sigma\big(E \times F,(E \times F)^\star \big)$ for the product of weak topologies

Published on
#general-topology #functional-analysis #solution-verification #topological-vector-spaces #weak-topology
149
Views

A simpler proof of the continuity equivalence between norm and weak topologies

Published on
#functional-analysis #solution-verification #banach-spaces #dual-spaces #weak-topology

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