Question

If $X$ is separable then $X^∗$ is separable in all topologies $\tau$ such that $(X^∗,\tau)^∗ =X$?

score 45 · Answer 1 · 2026-04-16 06:07:14

45

Views

If $X$ is separable then $X^∗$ is separable in all topologies $\tau$ such that $(X^∗,\tau)^∗ =X$?

Published on 16 Apr 2026 - 6:07

score 82 · Answer 2 · 2026-04-15 04:23:12

82

Views

$X^*$ separable implies separable unit ball

Published on 15 Apr 2026 - 4:23

score 366 · Answer 3 · 2026-04-14 06:49:50

366

Views

Completion of a separable metric space is separable

Published on 14 Apr 2026 - 6:49

score 55 · Answer 4 · 2026-03-25 21:31:34

55

Views

If $d$ is a separable metric on a Banach space, approximate a $d$-Lipschitz function by Fréchet differentiable $d$-Lipschitz functions

Published on 25 Mar 2026 - 21:31

score 809 · Answer 5 · 2026-04-16 03:48:39

809

Views

Is there an alternative way to show that a finite dimensional vector space is separable?

Published on 16 Apr 2026 - 3:48

score 34 · Answer 6 · 2026-04-14 09:15:07

34

Views

a separable hilbert space and closed hyperplan

Published on 14 Apr 2026 - 9:15

score 59 · Answer 7 · 2026-04-14 22:16:10

59

Views

A metrizable TVS $E$ is separable, every noncountable subset of $E$ contains a convergent sequence.

Published on 14 Apr 2026 - 22:16

score 829 · Answer 8 · 2026-04-12 03:30:58

829

Views

Separable Hilbert space definition doubt

Published on 12 Apr 2026 - 3:30

score 107 · Answer 9 · 2026-04-11 20:57:39

107

Views

Continuously embedded subspace (with own topolog. structure) of a separable real Hilbert space is itself separable

Published on 11 Apr 2026 - 20:57

score 542 · Answer 10 · 2026-04-16 21:10:57

542

Views

Separability of $W^{1,p}(\Omega)$, when $1\leq p<\infty$

Published on 16 Apr 2026 - 21:10

score 188 · Answer 11 · 2026-04-12 19:25:23

188

Views

Using ${\rm Lip}1$ to show that $C[0,1]$ is separable

Published on 12 Apr 2026 - 19:25

score 164 · Answer 12 · 2026-04-15 17:51:58

164

Views

Example of Separable Product Space with cardinality greater than continuum?

Published on 15 Apr 2026 - 17:51

score 268 · Answer 13 · 2026-04-13 16:24:44

268

Views

Metric space as a countable union of $\epsilon$ sized sets

Published on 13 Apr 2026 - 16:24

score 286 · Answer 14 · 2026-05-10 21:20:28

286

Views

Constraining a dense sequence on a product space, one factor at a time

Published on 10 May 2026 - 21:20

score 146 · Answer 15 · 2026-05-10 17:57:03

146

Views

How can I prove 'separable' guarantees 'second countable'?

Published on 10 May 2026 - 17:57

List Question

If $X$ is separable then $X^∗$ is separable in all topologies $\tau$ such that $(X^∗,\tau)^∗ =X$?

$X^*$ separable implies separable unit ball

Completion of a separable metric space is separable

If $d$ is a separable metric on a Banach space, approximate a $d$-Lipschitz function by Fréchet differentiable $d$-Lipschitz functions

Is there an alternative way to show that a finite dimensional vector space is separable?

a separable hilbert space and closed hyperplan

A metrizable TVS $E$ is separable, every noncountable subset of $E$ contains a convergent sequence.

Separable Hilbert space definition doubt

Continuously embedded subspace (with own topolog. structure) of a separable real Hilbert space is itself separable

Separability of $W^{1,p}(\Omega)$, when $1\leq p<\infty$

Using ${\rm Lip}1$ to show that $C[0,1]$ is separable

Example of Separable Product Space with cardinality greater than continuum?

Metric space as a countable union of $\epsilon$ sized sets

Constraining a dense sequence on a product space, one factor at a time

How can I prove 'separable' guarantees 'second countable'?

Trending Questions

Popular # Hahtags

Popular Questions