Question

Quotient of a Banach space $X$ gets quotient topology under standard norm induced from $X$.

score 622 · Answer 1 · 2026-04-01 03:19:45

622

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Quotient of a Banach space $X$ gets quotient topology under standard norm induced from $X$.

Published on 01 Apr 2026 - 3:19

score 3.2k · Answer 2 · 2014-09-21 04:17:23

3.2k

Views

Norm2 of a vector of complex numbers

Published on 21 Sep 2014 - 4:17

score 360 · Answer 3 · 2014-09-21 07:05:09

360

Views

Matrix norm square properties.

Published on 21 Sep 2014 - 7:05

score 63 · Answer 4 · 2014-09-22 18:11:50

63

Views

Convergence of $a_n=d(u_n,\Bbb{Z})$ where $u_n=\bigl(\frac{1+\sqrt{5}}{2}\bigr)^n$.

Published on 22 Sep 2014 - 18:11

score 12.8k · Answer 5 · 2026-04-01 01:13:18

12.8k

Views

Examples of compact sets that are infinite dimensional and not bounded

Published on 01 Apr 2026 - 1:13

score 73 · Answer 6 · 2014-09-23 05:10:34

73

Views

Are lines in arbitrary normed vector spaces closed?

Published on 23 Sep 2014 - 5:10

score 1.9k · Answer 7 · 2014-09-23 13:42:57

1.9k

Views

Show that $\infty$-norm and $C^1$-norm are not equivalent.

Published on 23 Sep 2014 - 13:42

score 45.3k · Answer 8 · 2026-03-30 07:07:23

45.3k

Views

Proof of Matrix Norm (Inverse Matrix)

Published on 30 Mar 2026 - 7:07

score 83 · Answer 9 · 2014-09-24 16:49:49

83

Views

Extend Metric Space Challenge

Published on 24 Sep 2014 - 16:49

score 168 · Answer 10 · 2014-09-24 19:29:50

168

Views

Subordinate norm is equal to $\Vert A\Vert_M=\Vert MAM^{-1}\Vert$ for the norm $\Vert x\Vert_M=\Vert Mx\Vert$

Published on 24 Sep 2014 - 19:29

score 451 · Answer 11 · 2014-09-24 22:24:06

451

Views

Inequality $\vert x^{*}y\vert\le \Vert x\Vert_1\Vert y\Vert_{\infty}.$

Published on 24 Sep 2014 - 22:24

score 421 · Answer 12 · 2026-03-26 21:25:55

421

Views

Example of a proper, dense ideal in a unital Banach algebra

Published on 26 Mar 2026 - 21:25

score 1.7k · Answer 13 · 2014-09-25 18:01:32

1.7k

Views

Inequality for subordinate norm of a submatrix : $\Vert B\Vert\le\Vert A\Vert$.

Published on 25 Sep 2014 - 18:01

score 4.5k · Answer 14 · 2014-09-25 20:38:37

4.5k

Views

Finding the norm of the linear functional $f(x)=\int_{-1}^0 x(t) \, dt - \int_0^1 x(t) \, dt$ on $C[-1,1]$

Published on 25 Sep 2014 - 20:38

score 806 · Answer 15 · 2026-04-03 06:31:22

806

Views

An open set in $l^{\infty}$

Published on 03 Apr 2026 - 6:31

List Question

Quotient of a Banach space $X$ gets quotient topology under standard norm induced from $X$.

Norm2 of a vector of complex numbers

Matrix norm square properties.

Convergence of $a_n=d(u_n,\Bbb{Z})$ where $u_n=\bigl(\frac{1+\sqrt{5}}{2}\bigr)^n$.

Examples of compact sets that are infinite dimensional and not bounded

Are lines in arbitrary normed vector spaces closed?

Show that $\infty$-norm and $C^1$-norm are not equivalent.

Proof of Matrix Norm (Inverse Matrix)

Extend Metric Space Challenge

Subordinate norm is equal to $\Vert A\Vert_M=\Vert MAM^{-1}\Vert$ for the norm $\Vert x\Vert_M=\Vert Mx\Vert$

Inequality $\vert x^{*}y\vert\le \Vert x\Vert_1\Vert y\Vert_{\infty}.$

Example of a proper, dense ideal in a unital Banach algebra

Inequality for subordinate norm of a submatrix : $\Vert B\Vert\le\Vert A\Vert$.

Finding the norm of the linear functional $f(x)=\int_{-1}^0 x(t) \, dt - \int_0^1 x(t) \, dt$ on $C[-1,1]$

An open set in $l^{\infty}$

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