User TaQ

24 votes

1 answer

3k views

Does there exist a measurable function which is not a.e. "strongly" measurable?

fa.functional-analysis

asked Feb 1, 2011 at 17:42

17 votes

2 answers

814 views

Intersection of compact sets in the unit interval

asked Sep 28, 2013 at 18:52

12 votes

2 answers

5k views

Are weak and strong convergence of sequences not equivalent?

banach-spaces fa.functional-analysis limits-and-convergence

asked Mar 1, 2012 at 15:13

8 votes

2 answers

512 views

Is the strong Whitney topology connected?

gn.general-topology differential-topology infinite-dimensional-manifolds

asked Feb 8, 2015 at 21:24

7 votes

2 answers

3k views

The double of a smooth manifold with boundary?

smooth-manifolds dg.differential-geometry

asked Jun 14, 2011 at 22:09

5 votes

3 answers

2k views

Is a connected separable locally euclidean Hausdorff topological space second countable?

gn.general-topology

asked Feb 22, 2011 at 12:44

5 votes

2 answers

870 views

Is there an infinite−dimensional Banach subspace in C^∞([0,1]) ?

fa.functional-analysis

asked Jan 31, 2011 at 17:09

5 votes

1 answer

180 views

Is $\partial^\alpha$ a map $H^{s,p}(\mathbb R^N,F)\to H^{s-|\alpha|,p}(\mathbb R^N,F)$?

fa.functional-analysis banach-spaces sobolev-spaces

asked Apr 12, 2014 at 14:23

4 votes

2 answers

174 views

Are sequences in $\ell^1(\mathbb N_0)$ converging uniformly on convex weakly compact subsets of $c_0(\mathbb N_0)$ norm convergent?

reference-request fa.functional-analysis banach-spaces

asked Mar 21 at 22:40

3 votes

0 answers

350 views

Stability of convex sets w.r.t. integration over [0,1]

fa.functional-analysis

asked Mar 8, 2011 at 11:42

2 votes

1 answer

219 views

Is the set of entire functions Borel in the space of analytic functions?

fa.functional-analysis gn.general-topology cv.complex-variables

asked Dec 10, 2015 at 22:30

2 votes

1 answer

230 views

Is scalarly measurable simply measurable?

fa.functional-analysis measurable-functions

asked Sep 15, 2013 at 9:52

2 votes

0 answers

180 views

Is $\mathbb T^\infty$ homeomorphic to an open subset in $\ell^2$?

gt.geometric-topology

asked Sep 25, 2013 at 18:16

2 votes

0 answers

173 views

Dunford−Pettis property of $L^1(\mu)$

reference-request fa.functional-analysis banach-spaces

asked Dec 8, 2017 at 0:15

1 vote

0 answers

282 views

Is reflexive Banach space valued scalarwise Lebesgue space isomorphic to the Bochner space?

fa.functional-analysis real-analysis banach-spaces measurable-functions

asked Oct 1, 2013 at 16:32

1 vote

1 answer

164 views

Is sequential completeness of LCS strictly stronger that Riemann integrability of curves?

fa.functional-analysis integration

asked Dec 7, 2013 at 19:21

1 vote

0 answers

359 views

Unambiguous "weak" vector valued $L^{+\infty}$ spaces?

fa.functional-analysis banach-spaces measurable-functions preduals

asked Feb 12, 2012 at 16:41

1 vote

0 answers

123 views

Is scalarwise measurability determined by the strong dual?

measurable-functions banach-spaces fa.functional-analysis

asked May 27, 2013 at 12:27

0 votes

1 answer

318 views

Integral in a σ−convex set.

fa.functional-analysis banach-spaces convexity

asked May 4, 2011 at 15:22

0 votes

1 answer

180 views

Is $(\ell^1(\mathbb N_0),\sigma(\ell^1,\ell^\infty))$ not quasi-complete?

reference-request fa.functional-analysis banach-spaces

asked Jun 23, 2017 at 16:13

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20 Questions

Does there exist a measurable function which is not a.e. "strongly" measurable?

Intersection of compact sets in the unit interval

Are weak and strong convergence of sequences not equivalent?

Is the strong Whitney topology connected?

The double of a smooth manifold with boundary?

Is a connected separable locally euclidean Hausdorff topological space second countable?

Is there an infinite−dimensional Banach subspace in C^∞([0,1]) ?

Is $\partial^\alpha$ a map $H^{s,p}(\mathbb R^N,F)\to H^{s-|\alpha|,p}(\mathbb R^N,F)$?

Are sequences in $\ell^1(\mathbb N_0)$ converging uniformly on convex weakly compact subsets of $c_0(\mathbb N_0)$ norm convergent?

Stability of convex sets w.r.t. integration over [0,1]

Is the set of entire functions Borel in the space of analytic functions?

Is scalarly measurable simply measurable?

Is $\mathbb T^\infty$ homeomorphic to an open subset in $\ell^2$?

Dunford−Pettis property of $L^1(\mu)$

Is reflexive Banach space valued scalarwise Lebesgue space isomorphic to the Bochner space?

Is sequential completeness of LCS strictly stronger that Riemann integrability of curves?

Unambiguous "weak" vector valued $L^{+\infty}$ spaces?

Is scalarwise measurability determined by the strong dual?

Integral in a σ−convex set.

Is $(\ell^1(\mathbb N_0),\sigma(\ell^1,\ell^\infty))$ not quasi-complete?