User Michael L. - Mathematics Stack Exchange

7 votes

0 answers

234 views

Finding solutions to a symmetric divisibility condition $x\mid p(y),\;y\mid p(x)$

asked Jun 12, 2015 at 14:12

7 votes

0 answers

825 views

Proving Talagrand's contraction lemma for Gaussian processes with the Banach fixed-point theorem

asked Apr 10, 2019 at 3:40

5 votes

1 answer

246 views

Differential of determinant in the Itô calculus

asked Oct 3, 2018 at 22:27

5 votes

1 answer

136 views

If $(X, \|\cdot\|)$ is a normed vector space, then $(X\setminus\{0\}, d)$ is a metric space for $d(x, y) = \frac{\|x-y\|}{\|x\|+\|y\|}$

asked Nov 20, 2020 at 22:59

4 votes

1 answer

126 views

Proving that $\|Av\|\geq \lvert \langle u, v\rangle\rvert\cdot \|A\|$ for $\|Au\| = \|A\|$ in a Hilbert space

asked Mar 5, 2019 at 7:57

3 votes

4 answers

326 views

Why does the residue method not work straight out of the box here?

asked Apr 10, 2015 at 0:28

3 votes

0 answers

171 views

Weak$^*$ convergence implies uniform convergence in reflexive Banach space?

asked Mar 18, 2017 at 17:31

3 votes

0 answers

131 views

Koszul formula applied to divergence

asked Jan 12, 2022 at 1:00

2 votes

1 answer

98 views

Characterizing the smooth maps $f : M\to N$ such that $E = \{(x, y)\in M\times M : f(x) = f(y)\}$ is a smooth submanifold of $M\times M$.

asked Jul 13, 2021 at 3:47

2 votes

0 answers

231 views

Reference for one-dimensional polynomial dynamics?

asked Oct 17, 2016 at 23:53

2 votes

0 answers

59 views

Is this behavior classifiable as a bifurcation?

asked Oct 18, 2016 at 20:39

2 votes

2 answers

191 views

Shorter proof that $\mathbb{C}\otimes_{\mathbb{R}} \mathbb{C}\cong \mathbb{C}^2$

asked Mar 30, 2018 at 5:36

2 votes

1 answer

162 views

Hilbert space operator that takes all orthonormal sequences to strong null-sequences

asked Apr 15, 2017 at 7:43

1 vote

1 answer

762 views

Existence of area-preserving diffeomorphism between two sets in $\mathbb{R}^2$

asked Jul 14, 2017 at 4:50

1 vote

1 answer

163 views

Levi–Civita connection and geodesics on $P(n)$ with the trace metric

asked Sep 7, 2020 at 23:32

1 vote

1 answer

1k views

Example where Gâteaux differentiability does not imply Fréchet differentiability

asked Feb 27, 2017 at 18:37

1 vote

1 answer

67 views

Compact, simply connected $C^1$ manifold bounded between two spheres

asked Mar 2, 2017 at 20:44

1 vote

2 answers

1k views

Banach space with non-complemented subspace

asked Mar 7, 2017 at 20:06

1 vote

0 answers

81 views

Reference on nets and filters for non-topologists

asked Mar 15, 2017 at 8:30

1 vote

1 answer

87 views

Function whose range is a bounded subset of an infinite-dimensional Banach space is weakly continuous?

asked Apr 4, 2017 at 20:37

1 vote

1 answer

91 views

Average of decimal digits

asked Nov 16, 2015 at 5:37

Stack Exchange Network

21 Questions

Finding solutions to a symmetric divisibility condition $x\mid p(y),\;y\mid p(x)$

Proving Talagrand's contraction lemma for Gaussian processes with the Banach fixed-point theorem

Differential of determinant in the Itô calculus

If $(X, \|\cdot\|)$ is a normed vector space, then $(X\setminus\{0\}, d)$ is a metric space for $d(x, y) = \frac{\|x-y\|}{\|x\|+\|y\|}$

Proving that $\|Av\|\geq \lvert \langle u, v\rangle\rvert\cdot \|A\|$ for $\|Au\| = \|A\|$ in a Hilbert space

Why does the residue method not work straight out of the box here?

Weak$^*$ convergence implies uniform convergence in reflexive Banach space?

Koszul formula applied to divergence

Characterizing the smooth maps $f : M\to N$ such that $E = \{(x, y)\in M\times M : f(x) = f(y)\}$ is a smooth submanifold of $M\times M$.

Reference for one-dimensional polynomial dynamics?

Is this behavior classifiable as a bifurcation?

Shorter proof that $\mathbb{C}\otimes_{\mathbb{R}} \mathbb{C}\cong \mathbb{C}^2$

Hilbert space operator that takes all orthonormal sequences to strong null-sequences

Existence of area-preserving diffeomorphism between two sets in $\mathbb{R}^2$

Levi–Civita connection and geodesics on $P(n)$ with the trace metric

Example where Gâteaux differentiability does not imply Fréchet differentiability

Compact, simply connected $C^1$ manifold bounded between two spheres

Banach space with non-complemented subspace

Reference on nets and filters for non-topologists

Function whose range is a bounded subset of an infinite-dimensional Banach space is weakly continuous?

Average of decimal digits