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17 votes
4 answers
638 views

Why isn't this a counterexample of Banach-Steinhaus theorem?

7 votes
1 answer
334 views

Another Smooth Structure on $\mathbb R$, clarification needed, John M. Lee

6 votes
1 answer
133 views

Is there a universal property for homogeneous maps $ \phi(ax,ay) = a^k\phi(x,y) $?

5 votes
0 answers
162 views

Possible definition of the cotangent space

5 votes
1 answer
89 views

How far is this view correct on strengthening and weakening of the topologies of the domain and the codomain?

4 votes
1 answer
255 views

Is there a Fréchet Derivative for the Norm on a Complex Hilbert Space?

4 votes
1 answer
124 views

Can a subgroup of the symmetric group $\mathfrak S_k$ be an elementary substructure?

4 votes
1 answer
149 views

Contangent space as a jet space, (inconsistency ?), Renteln

3 votes
0 answers
89 views

Is this a valid tensor representation of the Hodge star operation?

3 votes
1 answer
78 views

Are all $v \in \Lambda ^k V$ decomposable if $k > \frac{1}{2} \dim V$?

3 votes
1 answer
43 views

Prove this equivalence in defining complement subspaces without contraposition

3 votes
2 answers
97 views

Can this set open in a topological vector space?

3 votes
1 answer
154 views

Find the unique functional on $\ell^p$, such that $\|f\| = 1$ and for a given fixed $x \in \ell^p$, we have $|f(x)| = \|x\|$, where $1<p<\infty$

2 votes
1 answer
156 views

Extend the linear functional on $\mathbb R^2$

2 votes
0 answers
101 views

Different notation and a little more insight for $dx^i$ based on an alternative definition of the cotangent space

2 votes
1 answer
96 views

Prove positive definiteness of the inner product on the tensor product without using bases

2 votes
1 answer
68 views

Convergence or divergence of $\left( \frac{\sum_{j=1}^n (-1)^j j^k}{\sum_{j=1}^n j^k} \right)_{n \in \mathbb N}$ for some $k \in \mathbb N$

2 votes
0 answers
61 views

Prove that $\det R = \pm 1$ iff $R \in \operatorname{Isom}(V)$, where $V$ is a finite dimensional real inner product space [duplicate]

2 votes
2 answers
119 views

Isn't this very large set excluded by the axiom of regularity (foundation)?

2 votes
3 answers
162 views

Does every pseudometric give rise to a topology?

2 votes
1 answer
201 views

The tensor of the inner product on an infinite vector space

2 votes
2 answers
72 views

Finding the Orthogonal Vector $z$ to a (closed) Subspace $M$, given the Existance of the closest Element $y_0 \in M$ to a vector $x \notin M$

1 vote
0 answers
145 views

Inverse Fourier transform of $ \frac{\sin(c|\mathbf{k}|)}{c|\mathbf{k}|} $

1 vote
1 answer
74 views

Is the Tensor Product Space Isomorphic to One of its Factors if They Are Infinite Dimensional?

1 vote
0 answers
54 views

Is the Quotient Space Spanned by the Image of the Basis?

1 vote
1 answer
239 views

Greub, Multilinear Algebra, Notation

1 vote
1 answer
81 views

L. Evans' book PDE, what is the meaning of $D^2$ in the inequality?

1 vote
0 answers
53 views

equivalence of expressions in 1st order logic

1 vote
1 answer
63 views

Mendelson's book, truth function of n argument

1 vote
0 answers
58 views

Mendelson, intro. to .math. log, Lemma 2.29, d)