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TaQ
  • Member for 11 years, 4 months
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11 votes
Accepted

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

9 votes
Accepted

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

8 votes
Accepted

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

8 votes

Are smooth functions tame?

6 votes
Accepted

Reference request: Simple facts about vector-valued Sobolev space

6 votes

Intuition for failure of Implicit Function theorem on Frechet Manifolds

6 votes

Poincaré lemma for distributions

5 votes
Accepted

Does the implicit function theorem hold for discontinuously differentiable functions?

5 votes

Is every Montel locally convex vector space compactly generated?

5 votes

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

4 votes

A question on the integral of Hilbert valued functions

4 votes

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

4 votes
Accepted

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

4 votes

$C^1$-functions on Banach spaces

4 votes

Proof of the Schauder Lemma

4 votes
Accepted

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

3 votes
Accepted

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

3 votes
Accepted

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

3 votes

Do locally convex topological vector spaces embed into diffeological spaces?

3 votes
Accepted

"semi-pseudonorm" in references

2 votes
Accepted

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

2 votes
Accepted

Pointwise (in time) convergence in $H^{-1}$ implies pointwise weak convergence in $L^q$, why?

2 votes
Accepted

$c^\infty$-topologies on spaces of compactly supported sections and their products

2 votes
Accepted

Is this (interpolation) inequality right?

2 votes
Accepted

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

2 votes
Accepted

Convenient vector space and its locally convex structure

2 votes

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

2 votes

Dual space of $L^2(\mathbb{R},L^1(0,1))$?

1 vote
Accepted

Does the Implicit Function Theorem in Banach spaces holds if the differential is only one-to-one (not onto!)?

1 vote

smooth functions on closed intervals with values in infinite-dimensional spaces