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19 Questions

Votes Activity Newest Views

votes

answer

views

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

fa.functional-analysis

May 5 '15 at 8:18 Marten Wortel 366

votes

answers

712

views

Intersection of compact sets in the unit interval

Sep 30 '13 at 23:22 Ramiro de la Vega 10.8k

votes

answers

views

Are weak and strong convergence of sequences not equivalent?

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

Mar 1 '12 at 15:38 Jochen Wengenroth 11.5k

votes

answers

views

The double of a smooth manifold with boundary?

smooth-manifolds dg.differential-geometry

Mar 7 '18 at 14:50 jeq 1,220

votes

answers

424

views

Is the strong Whitney topology connected?

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

Feb 9 '15 at 7:38 TaQ 2,611

votes

answer

156

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

Oct 22 '19 at 16:48 TaQ 2,611

votes

answers

views

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

gn.general-topology

Jan 13 '16 at 1:07 Peter Nyikos 261

votes

answers

832

views

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

fa.functional-analysis

Feb 1 '11 at 1:23 Silver 111

votes

answers

346

views

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

fa.functional-analysis

Mar 13 '11 at 14:45 TaQ 2,611

votes

answers

170

views

Dunford−Pettis property of $L^1(\mu)$

reference-request fa.functional-analysis banach-spaces

Dec 8 '17 at 15:37 TaQ 2,611

votes

answer

207

views

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

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

Dec 12 '15 at 3:19 TaQ 2,611

votes

answers

179

views

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

gt.geometric-topology

Sep 25 '13 at 20:12 Community♦ 1

votes

answer

223

views

Is scalarly measurable simply measurable?

fa.functional-analysis measurable-functions

Sep 15 '13 at 15:36 fedja 47.5k

vote

answer

159

views

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

fa.functional-analysis integration

Dec 8 '13 at 9:03 Community♦ 1

vote

answers

278

views

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

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

Oct 1 '13 at 16:32 Community♦ 1

vote

answers

122

views

Is scalarwise measurability determined by the strong dual?

measurable-functions banach-spaces fa.functional-analysis

Jun 27 '13 at 14:59 Community♦ 1

vote

answers

338

views

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

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

May 25 '13 at 4:27 Community♦ 1

votes

answer

168

views

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

reference-request fa.functional-analysis banach-spaces

Jun 26 '17 at 17:49 Todd Trimble♦ 48.6k

votes

answer

305

views

Integral in a σ−convex set.

fa.functional-analysis banach-spaces convexity

May 4 '11 at 19:34 Community♦ 1

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19 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?

The double of a smooth manifold with boundary?

Is the strong Whitney topology connected?

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

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

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

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

Dunford−Pettis property of $L^1(\mu)$

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

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

Is scalarly measurable simply measurable?

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

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

Is scalarwise measurability determined by the strong dual?

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

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

Integral in a σ−convex set.