Question

Find the limit of the sequence $\{\frac{x_1 + 2x_2 + ... + nx_n}{n^2}\}$, where $\{x_n\}$ is a convergent sequence in a normed space S.

score 179 · Answer 1 · 2026-04-17 14:46:43

Find the limit of the sequence $\{\frac{x_1 + 2x_2 + ... + nx_n}{n^2}\}$, where $\{x_n\}$ is a convergent sequence in a normed space S.

score 62 · Answer 2 · 2026-04-13 22:00:50

62

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Show that $ \left\| f- \sum_{k=1}^N c_kv_k \right\|^2 $ can be written as...

Published on 13 Apr 2026 - 22:00

score 792 · Answer 3 · 2026-04-15 08:26:04

792

Views

Proof: Bounding the inverse of the addition of the identity and a square matrix p norm.

Published on 15 Apr 2026 - 8:26

score 24 · Answer 4 · 2026-04-15 23:24:40

24

Views

If $\|u\|_{2}<\infty $ then $\|u\|_{p}<\infty (p>2)$?

Published on 15 Apr 2026 - 23:24

score 90 · Answer 5 · 2026-04-10 22:24:50

90

Views

Open sets in Lebesgue sequence spaces

Published on 10 Apr 2026 - 22:24

score 113 · Answer 6 · 2026-04-13 12:12:48

113

Views

Proving $A=0$ and $B$ is positive definite given $||A||<1$ and block matrix is positive semidefinite

Published on 13 Apr 2026 - 12:12

score 2.2k · Answer 7 · 2026-04-16 07:30:07

2.2k

Views

Prove $\mathbb R^n$ is complete with respect to non-standard norms

Published on 16 Apr 2026 - 7:30

score 123 · Answer 8 · 2026-04-13 19:05:28

123

Views

Inclusion Of Unit Open Ball

Published on 13 Apr 2026 - 19:05

score 92 · Answer 9 · 2026-04-15 11:35:28

92

Views

Fitting a curve for given data and minimizing the norm

Published on 15 Apr 2026 - 11:35

score 818 · Answer 10 · 2026-04-17 03:58:14

818

Views

Showing that $\ell_1\subset\ell_2\subset c_0\subset\ell_\infty$

Published on 17 Apr 2026 - 3:58

score 56 · Answer 11 · 2026-04-16 20:03:56

56

Views

Proving $\| x\| -\|Bx\| \leq \| x-Bx\|$ when $\|B\| \leq 1$

Published on 16 Apr 2026 - 20:03

score 427 · Answer 12 · 2026-04-16 04:33:25

427

Views

If $X$ is symmetric, show $k(X^2)$ = $k(X)^2$

Published on 16 Apr 2026 - 4:33

score 51 · Answer 13 · 2026-04-13 13:56:56

51

Views

Normed space for complex cector space of continuous functions

Published on 13 Apr 2026 - 13:56

score 191 · Answer 14 · 2026-04-09 13:07:38

191

Views

Inner Product of Bounded Self Adjoint Linear Operator

Published on 09 Apr 2026 - 13:07

score 37 · Answer 15 · 2026-04-14 02:49:19

37

Views

$H^{2m}(\Omega)\cap H_{0}^{m}(\Omega)\hookrightarrow W_{0}^{m,p}(\Omega)$?

Published on 14 Apr 2026 - 2:49

List Question

Find the limit of the sequence $\{\frac{x_1 + 2x_2 + ... + nx_n}{n^2}\}$, where $\{x_n\}$ is a convergent sequence in a normed space S.

Show that $ \left\| f- \sum_{k=1}^N c_kv_k \right\|^2 $ can be written as...

Proof: Bounding the inverse of the addition of the identity and a square matrix p norm.

If $\|u\|_{2}<\infty $ then $\|u\|_{p}<\infty (p>2)$?

Open sets in Lebesgue sequence spaces

Proving $A=0$ and $B$ is positive definite given $||A||<1$ and block matrix is positive semidefinite

Prove $\mathbb R^n$ is complete with respect to non-standard norms

Inclusion Of Unit Open Ball

Fitting a curve for given data and minimizing the norm

Showing that $\ell_1\subset\ell_2\subset c_0\subset\ell_\infty$

Proving $\| x\| -\|Bx\| \leq \| x-Bx\|$ when $\|B\| \leq 1$

If $X$ is symmetric, show $k(X^2)$ = $k(X)^2$

Normed space for complex cector space of continuous functions

Inner Product of Bounded Self Adjoint Linear Operator

$H^{2m}(\Omega)\cap H_{0}^{m}(\Omega)\hookrightarrow W_{0}^{m,p}(\Omega)$?

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