List questions from normed-spaces

Published on 24 Mar 2026 - 21:59

51

Views

Collection of all norms such that a Space is Complete

Published on 09 Sep 2018 - 0:31

100

Views

Properties of the set of equivalent norms in a normed vector space

Published on 09 Sep 2018 - 3:42

566

Views

Distance between the spans of two matrices

Published on 25 Mar 2026 - 1:24

1.8k

Views

Show $\| X \| = \sqrt{X^* A X}$ is a norm

Published on 09 Sep 2018 - 18:15

826

Views

Scalar(inner) product of polynomial and norm

Published on 10 Sep 2018 - 0:21

52

Views

Difference between $\|x^{(k)} - x\|_1$ and $\|x^{(k)}_i - x_i\|_1$

Published on 10 Sep 2018 - 2:52

56

Views

Show that $d(x+y,A+B) \leq d(x,A) + d(y,B).$

Published on 10 Sep 2018 - 9:38

104

Views

Prove that $\|\mathbf{x}+\mathbf{y}\|\le\|\mathbf{x}\|+\|\mathbf{y}\|$

Published on 11 Sep 2018 - 2:39

88

Views

Functional Analysis Banach space.

Published on 27 Mar 2026 - 4:56

176

Views

Prove that $A$ is Banach space under the norm

Published on 27 Mar 2026 - 4:56

1.4k

Views

Show Cauchy-Schwarz inequality from triangle inequality for $\mathbb{C}$-vector space

Published on 27 Mar 2026 - 5:58

92

Views

Vector norm such that $\| (1,i) \| = 6$

Published on 13 Sep 2018 - 3:09

284

Views

Elementwise inequality to norm inequality

Published on 14 Sep 2018 - 10:55

64

Views

Norm in $\mathcal{C}[\Bbb{R},\Bbb{R}]$

Published on 15 Sep 2018 - 10:34

List Question

Primes $p=1\pmod 5$

Collection of all norms such that a Space is Complete

Properties of the set of equivalent norms in a normed vector space

Distance between the spans of two matrices

Show $\| X \| = \sqrt{X^* A X}$ is a norm

Scalar(inner) product of polynomial and norm

Difference between $\|x^{(k)} - x\|_1$ and $\|x^{(k)}_i - x_i\|_1$

Show that $d(x+y,A+B) \leq d(x,A) + d(y,B).$

Prove that $\|\mathbf{x}+\mathbf{y}\|\le\|\mathbf{x}\|+\|\mathbf{y}\|$

Functional Analysis Banach space.

Prove that $A$ is Banach space under the norm

Show Cauchy-Schwarz inequality from triangle inequality for $\mathbb{C}$-vector space

Vector norm such that $\| (1,i) \| = 6$

Elementwise inequality to norm inequality

Norm in $\mathcal{C}[\Bbb{R},\Bbb{R}]$

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