Question

Showing the set of polynomials of degree $>n$ is open in the set of polynomials with norm $\|P\|=\max\{|p_0|,\dots,|p_d|\}$

score 70 · Answer 1 · 2019-01-24 09:34:24

70

Views

Showing the set of polynomials of degree $>n$ is open in the set of polynomials with norm $\|P\|=\max\{|p_0|,\dots,|p_d|\}$

Published on 24 Jan 2019 - 9:34

score 362 · Answer 2 · 2026-02-23 01:04:24

362

Views

Non-reflexive space that is isomorphic to its second dual space

Published on 23 Feb 2026 - 1:04

score 43 · Answer 3 · 2026-03-26 06:22:19

43

Views

For metric space $C^0([0,1])$, a sequence of functions ${x^n}$ is Cauchy in $||-||_1$ norm but not in infinite norm

Published on 26 Mar 2026 - 6:22

score 426 · Answer 4 · 2026-03-25 19:06:37

426

Views

Norm of a set of vectors with respect to a quadratic form

Published on 25 Mar 2026 - 19:06

score 74 · Answer 5 · 2019-01-25 00:37:49

74

Views

Prove $|tr(PAP') - tr(PBP')| \leq ||A-B||_{\infty} ||P'||_1^2$

Published on 25 Jan 2019 - 0:37

score 2.2k · Answer 6 · 2019-01-25 02:33:14

2.2k

Views

Prove a function is a norm?

Published on 25 Jan 2019 - 2:33

score 70 · Answer 7 · 2026-03-29 04:47:30

70

Views

Inner product induced by the polarisation identitiy

Published on 29 Mar 2026 - 4:47

score 144 · Answer 8 · 2019-01-25 16:23:34

144

Views

Is $P$ dense in $X$?

Published on 25 Jan 2019 - 16:23

score 32 · Answer 9 · 2019-01-26 00:43:19

32

Views

How this inequality is derived?

Published on 26 Jan 2019 - 0:43

score 362 · Answer 10 · 2019-01-26 07:55:50

362

Views

Maximum number of unit vectors with bounded pairwise dot products

Published on 26 Jan 2019 - 7:55

score 259 · Answer 11 · 2026-03-25 03:21:22

259

Views

Total variation of a measure in a topological dual of the space of continuous functions

Published on 25 Mar 2026 - 3:21

score 410 · Answer 12 · 2026-03-25 18:44:10

410

Views

How to properly estimate a Schwartz function

Published on 25 Mar 2026 - 18:44

score 53 · Answer 13 · 2026-03-27 09:48:19

53

Views

Proving inequality involving scalar product on $\mathbb{R}^n$

Published on 27 Mar 2026 - 9:48

score 247 · Answer 14 · 2026-03-29 03:35:31

247

Views

2-norm & infinity norms of a system are dependent or independent of delay?

Published on 29 Mar 2026 - 3:35

score 360 · Answer 15 · 2026-03-26 01:25:10

360

Views

Sum of Fourier coefficients less than the norm of the respective vector

Published on 26 Mar 2026 - 1:25

List Question

Showing the set of polynomials of degree $>n$ is open in the set of polynomials with norm $\|P\|=\max\{|p_0|,\dots,|p_d|\}$

Non-reflexive space that is isomorphic to its second dual space

For metric space $C^0([0,1])$, a sequence of functions ${x^n}$ is Cauchy in $||-||_1$ norm but not in infinite norm

Norm of a set of vectors with respect to a quadratic form

Prove $|tr(PAP') - tr(PBP')| \leq ||A-B||_{\infty} ||P'||_1^2$

Prove a function is a norm?

Inner product induced by the polarisation identitiy

Is $P$ dense in $X$?

How this inequality is derived?

Maximum number of unit vectors with bounded pairwise dot products

Total variation of a measure in a topological dual of the space of continuous functions

How to properly estimate a Schwartz function

Proving inequality involving scalar product on $\mathbb{R}^n$

2-norm & infinity norms of a system are dependent or independent of delay?

Sum of Fourier coefficients less than the norm of the respective vector

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