User TaQ

11 votes

Accepted

Does it make sense to talk about smooth bundles of Hilbert spaces?

answered Dec 11, 2013 at 16:13

9 votes

Accepted

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

answered Feb 22, 2011 at 22:40

8 votes

Accepted

Can you tell whether a space is Banach from the unit ball?

answered Mar 1, 2011 at 12:37

8 votes

Are smooth functions tame?

answered Aug 5, 2013 at 9:46

6 votes

Accepted

Reference request: Simple facts about vector-valued Sobolev space

answered Feb 5, 2012 at 18:38

6 votes

Intuition for failure of Implicit Function theorem on Frechet Manifolds

answered Jun 29, 2013 at 15:39

6 votes

Poincaré lemma for distributions

answered Feb 14, 2016 at 14:13

6 votes

Accepted

Is the Borel lemma projection a smooth principal bundle?

answered Oct 7, 2022 at 11:49

5 votes

Accepted

Does the implicit function theorem hold for discontinuously differentiable functions?

answered Sep 29, 2014 at 16:10

5 votes

Is every Montel locally convex vector space compactly generated?

answered Oct 19, 2014 at 15:26

5 votes

The third axiom in the definition of (infinite-dimensional) vector bundles: why?

answered Feb 7, 2011 at 22:42

4 votes

A question on the integral of Hilbert valued functions

answered Jun 8, 2011 at 10:44

4 votes

What is the definition of being smooth for a function from a Lie group to a Fréchet space?

answered Sep 8, 2013 at 11:33

4 votes

Accepted

When is a `1-form' with continuous coefficients exact?

answered Nov 15, 2014 at 14:30

4 votes

$C^1$-functions on Banach spaces

answered Jun 16, 2016 at 15:24

4 votes

Do locally convex topological vector spaces embed into diffeological spaces?

answered Jun 16, 2015 at 18:36

4 votes

Conditions for chain rule for Gateaux derivatives

answered Jul 11, 2022 at 2:13

4 votes

Proof of the Schauder Lemma

answered Jul 17, 2017 at 21:40

4 votes

Accepted

Why is density and separability needed for uniqueness of weak (time) derivatives?

answered Aug 13, 2020 at 5:03

3 votes

Accepted

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

answered Oct 22, 2019 at 16:48

3 votes

Accepted

Does the Skorokhod space with the uniform topology admit a smooth partition of unity?

answered Aug 6, 2020 at 19:40

3 votes

Accepted

Every linear topological space embeds into the Tychonoff product of linear metric spaces

answered May 18, 2019 at 10:34

3 votes

Connecting PDE notions for functions $[0,T] \to (\Omega \to \mathbb{R})$ to related notions for functions $[0,T] \times \Omega \to \mathbb{R}$

answered Jun 21, 2021 at 10:32

3 votes

Reference request: "Tangent relation" in metric spaces

answered Nov 17, 2022 at 13:11

3 votes

Does the uniform boundedness principle holds for multilinear maps as well?

answered Mar 12 at 13:05

3 votes

Accepted

Approximating a sequence of tempered distributions "uniformly" by Schwartz functions

answered Mar 14 at 18:18

3 votes

Accepted

"semi-pseudonorm" in references

answered Sep 19, 2015 at 14:54

2 votes

Accepted

interpret of Picone inequality for non-regular functions

answered Sep 22, 2015 at 15:10

2 votes

Accepted

If $ F(x,\bullet) \in {L^{2}}(G,B) $ for all $ x \in G $, then is $ x \mapsto F(x,\bullet) $ strongly measurable?

answered Oct 22, 2014 at 7:32

2 votes

Accepted

Are smooth functions dense in the space $\{u \in H^1(Q) \text{ with } \Delta_\Gamma u \in L^2(Q)\}$?

answered Mar 1, 2014 at 14:01

Stack Exchange Network

56 Answers

Does it make sense to talk about smooth bundles of Hilbert spaces?

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

Can you tell whether a space is Banach from the unit ball?

Are smooth functions tame?

Reference request: Simple facts about vector-valued Sobolev space

Intuition for failure of Implicit Function theorem on Frechet Manifolds

Poincaré lemma for distributions

Is the Borel lemma projection a smooth principal bundle?

Does the implicit function theorem hold for discontinuously differentiable functions?

Is every Montel locally convex vector space compactly generated?

The third axiom in the definition of (infinite-dimensional) vector bundles: why?

A question on the integral of Hilbert valued functions

What is the definition of being smooth for a function from a Lie group to a Fréchet space?

When is a `1-form' with continuous coefficients exact?

$C^1$-functions on Banach spaces

Do locally convex topological vector spaces embed into diffeological spaces?

Conditions for chain rule for Gateaux derivatives

Proof of the Schauder Lemma

Why is density and separability needed for uniqueness of weak (time) derivatives?

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

Does the Skorokhod space with the uniform topology admit a smooth partition of unity?

Every linear topological space embeds into the Tychonoff product of linear metric spaces

Connecting PDE notions for functions $[0,T] \to (\Omega \to \mathbb{R})$ to related notions for functions $[0,T] \times \Omega \to \mathbb{R}$

Reference request: "Tangent relation" in metric spaces

Does the uniform boundedness principle holds for multilinear maps as well?

Approximating a sequence of tempered distributions "uniformly" by Schwartz functions

"semi-pseudonorm" in references

interpret of Picone inequality for non-regular functions

If $ F(x,\bullet) \in {L^{2}}(G,B) $ for all $ x \in G $, then is $ x \mapsto F(x,\bullet) $ strongly measurable?

Are smooth functions dense in the space $\{u \in H^1(Q) \text{ with } \Delta_\Gamma u \in L^2(Q)\}$?