Question

Union and intersection of compact sets compact in a normed linear space

score 107 · Answer 1 · 2026-04-04 02:53:36

107

Views

Union and intersection of compact sets compact in a normed linear space

Published on 04 Apr 2026 - 2:53

score 37 · Answer 2 · 2026-04-08 09:38:41

37

Views

Apollonios equation holds iff the norm is induced by a scalar product

Published on 08 Apr 2026 - 9:38

score 94 · Answer 3 · 2020-01-13 13:36:42

94

Views

Let $A \subseteq B$ be dense in $B$. Show that the closure $\overline A = B$.

Published on 13 Jan 2020 - 13:36

score 350 · Answer 4 · 2026-03-27 23:28:07

350

Views

Prove for any vector norm $\| \cdot \|$ that $\left| \|x\| -\|y\| \right| \leq \|x - y\|$

Published on 27 Mar 2026 - 23:28

score 616 · Answer 5 · 2026-03-29 16:34:42

616

Views

Is there any way to visualize the inner product of two continuous functions on $[a,b]$.

Published on 29 Mar 2026 - 16:34

score 49 · Answer 6 · 2020-01-14 18:49:26

49

Views

How can I prove that $\|u \|$ is bounded in this?

Published on 14 Jan 2020 - 18:49

score 92 · Answer 7 · 2026-04-06 14:06:48

92

Views

Hilbert space: $\langle Ux, Uy \rangle = \langle x, y \rangle$ iff $\| Ux \| = \| x \|$

Published on 06 Apr 2026 - 14:06

score 100 · Answer 8 · 2026-04-06 14:04:16

100

Views

1-norm and 2-norm

Published on 06 Apr 2026 - 14:04

score 26 · Answer 9 · 2020-01-15 14:51:48

26

Views

If two norms preserves boundedness of sets, then those norms preserves convergence of sequences.

Published on 15 Jan 2020 - 14:51

score 30 · Answer 10 · 2026-04-04 15:22:45

30

Views

Continuity of an perator in $C([0,1])$ defined by limit of integrals

Published on 04 Apr 2026 - 15:22

score 75 · Answer 11 · 2026-04-08 09:41:04

75

Views

Can anybody help me with this problem of analysis?

Published on 08 Apr 2026 - 9:41

score 116 · Answer 12 · 2026-04-04 17:48:48

116

Views

Proving an Inequality in the $L^1$-Norm by Density of $C^{\infty}_{0}$

Published on 04 Apr 2026 - 17:48

score 24 · Answer 13 · 2026-03-31 10:37:56

24

Views

Reference request for a notion of $L^p$ norm of a one-form.

Published on 31 Mar 2026 - 10:37

score 1.5k · Answer 14 · 2026-03-26 05:55:57

1.5k

Views

Proof of Cauchy Schwarz inequality for an inner product space-A visual approach.

Published on 26 Mar 2026 - 5:55

score 47 · Answer 15 · 2020-01-17 08:54:36

47

Views

How do I prove $\Vert\mathbf x \Vert_{\mathcal l^q} \leq \Vert \mathbf x \Vert_{\mathcal l^p}$.

Published on 17 Jan 2020 - 8:54

List Question

Union and intersection of compact sets compact in a normed linear space

Apollonios equation holds iff the norm is induced by a scalar product

Let $A \subseteq B$ be dense in $B$. Show that the closure $\overline A = B$.

Prove for any vector norm $\| \cdot \|$ that $\left| \|x\| -\|y\| \right| \leq \|x - y\|$

Is there any way to visualize the inner product of two continuous functions on $[a,b]$.

How can I prove that $\|u \|$ is bounded in this?

Hilbert space: $\langle Ux, Uy \rangle = \langle x, y \rangle$ iff $\| Ux \| = \| x \|$

1-norm and 2-norm

If two norms preserves boundedness of sets, then those norms preserves convergence of sequences.

Continuity of an perator in $C([0,1])$ defined by limit of integrals

Can anybody help me with this problem of analysis?

Proving an Inequality in the $L^1$-Norm by Density of $C^{\infty}_{0}$

Reference request for a notion of $L^p$ norm of a one-form.

Proof of Cauchy Schwarz inequality for an inner product space-A visual approach.

How do I prove $\Vert\mathbf x \Vert_{\mathcal l^q} \leq \Vert \mathbf x \Vert_{\mathcal l^p}$.

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