User jjcale

18 votes

Is the linear span of special orthogonal matrices equal to the whole space of $N\times N$ matrices?

answered Sep 11, 2018 at 19:17

14 votes

Examples of theorems with proofs that have dramatically improved over time

answered May 3, 2012 at 16:40

14 votes

What is a good method to find random points on the n-sphere when n is large?

answered Jul 10, 2013 at 19:16

13 votes

Does Physics need non-analytic smooth functions?

answered Nov 26, 2012 at 22:53

8 votes

Projections in Banach spaces

answered Nov 18, 2012 at 11:41

7 votes

What are the possible eigenvalues of these matrices?

answered Mar 5, 2018 at 18:37

7 votes

Accepted

Well known matrix inequality?

answered May 13, 2018 at 16:20

6 votes

How to prove this determinant is positive?

answered May 3, 2015 at 13:34

6 votes

Open problems in PDEs, dynamical systems, mathematical physics

answered Mar 20, 2013 at 22:18

6 votes

Perturbations of an operator that disconnect the spectrum

answered Nov 23, 2011 at 23:13

5 votes

Accepted

On the Paley-Wiener theorem

answered Dec 11, 2011 at 10:15

5 votes

Accepted

on an inequality of Brezis-Lieb

answered Jan 23, 2013 at 19:46

5 votes

Accepted

How to prove this determinant is positive-II?

answered Feb 24, 2016 at 18:59

4 votes

Accepted

What are the possible eigenvalues of these matrices?

answered Mar 11, 2018 at 17:04

4 votes

Inequality with symmetric polynomials

answered Feb 20, 2017 at 19:02

4 votes

Accepted

A singular value-eigenvalue inequality

answered Dec 2, 2017 at 20:59

3 votes

Accepted

Is $k(A, B) = \text{Tr}[(A^{1/2} B A^{1/2})^{1/2}]$ a positive definite kernel?

answered Feb 21, 2023 at 9:58

3 votes

Vacuum vector and basis defined by anti-commuting operators

answered Apr 10, 2022 at 19:05

3 votes

Accepted

A simple but curious determinantal inequality

answered Jun 24, 2017 at 13:41

3 votes

Computation of a minimal polynomial

answered Sep 3, 2017 at 18:40

3 votes

Computation of a minimal polynomial

answered Sep 4, 2017 at 16:22

3 votes

Accepted

An Optimization Problem with Complex Variables, regarding Eigenvalues of Circulant Matrices

answered Jun 24, 2018 at 20:32

3 votes

Accepted

A generalized log inequality for positive definite trace-one matrices

answered Feb 12, 2017 at 10:26

3 votes

Does there exist a continuous function of compact support with Fourier transform outside L^1?

answered May 1, 2012 at 16:54

2 votes

Quasinilpotent example

answered Jan 7, 2012 at 20:07

2 votes

Accepted

quasinilpotence and finite spectrum

answered Oct 6, 2011 at 18:44

2 votes

Most helpful math resources on the web

answered Nov 16, 2011 at 19:39

2 votes

Bounding a spectral gap: what proof techniques exist?

answered Aug 22, 2011 at 21:19

2 votes

Examples of non-rigorous but efficient mathematical methods in physics

answered Aug 24, 2011 at 18:56

2 votes

Can there be a polymath project for mathematical physics?

answered Jan 28, 2017 at 10:10

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42 Answers

Is the linear span of special orthogonal matrices equal to the whole space of $N\times N$ matrices?

Examples of theorems with proofs that have dramatically improved over time

What is a good method to find random points on the n-sphere when n is large?

Does Physics need non-analytic smooth functions?

Projections in Banach spaces

What are the possible eigenvalues of these matrices?

Well known matrix inequality?

How to prove this determinant is positive?

Open problems in PDEs, dynamical systems, mathematical physics

Perturbations of an operator that disconnect the spectrum

On the Paley-Wiener theorem

on an inequality of Brezis-Lieb

How to prove this determinant is positive-II?

What are the possible eigenvalues of these matrices?

Inequality with symmetric polynomials

A singular value-eigenvalue inequality

Is $k(A, B) = \text{Tr}[(A^{1/2} B A^{1/2})^{1/2}]$ a positive definite kernel?

Vacuum vector and basis defined by anti-commuting operators

A simple but curious determinantal inequality

Computation of a minimal polynomial

Computation of a minimal polynomial

An Optimization Problem with Complex Variables, regarding Eigenvalues of Circulant Matrices

A generalized log inequality for positive definite trace-one matrices

Does there exist a continuous function of compact support with Fourier transform outside L^1?

Quasinilpotent example

quasinilpotence and finite spectrum

Most helpful math resources on the web

Bounding a spectral gap: what proof techniques exist?

Examples of non-rigorous but efficient mathematical methods in physics

Can there be a polymath project for mathematical physics?