Question

Show that the linear functional is bounded and find its norm.

score 198 · Answer 1 · 2018-09-22 17:25:24

198

Views

Show that the linear functional is bounded and find its norm.

Published on 22 Sep 2018 - 17:25

score 110 · Answer 2 · 2018-09-22 20:03:44

110

Views

Uniform continuous and bounded set of functions is closed under scalar multiplication

Published on 22 Sep 2018 - 20:03

score 54 · Answer 3 · 2018-09-22 21:04:10

54

Views

Operator norm of $T: L^{p}(0,\infty) \rightarrow L^{p}(0,\infty)$

Published on 22 Sep 2018 - 21:04

score 276 · Answer 4 · 2026-03-27 13:47:18

276

Views

"$(x_n, y_n)$ is weakly convergent to $(x,y)$" implies "$(x_n)$ is weakly converging to $x$"?

Published on 27 Mar 2026 - 13:47

score 410 · Answer 5 · 2018-09-23 14:41:04

410

Views

Show that the linear operator is bounded and find its norm

Published on 23 Sep 2018 - 14:41

score 2.3k · Answer 6 · 2026-03-25 07:44:47

2.3k

Views

Does SVD give the best rank 1 approximation with respect to the Frobenius norm, L2 norm, or both?

Published on 25 Mar 2026 - 7:44

score 173 · Answer 7 · 2018-09-23 23:34:39

173

Views

Can we approximate any eigenvalue of a matrix via eigenvalues of some sequence diagonalizable matrices which approximates the matrix?

Published on 23 Sep 2018 - 23:34

score 837 · Answer 8 · 2026-03-25 02:02:56

837

Views

A lower bound for the condition number matrix

Published on 25 Mar 2026 - 2:02

score 216 · Answer 9 · 2026-03-25 09:10:33

216

Views

Is the 2-norm of the consensus part of a primitive row-stochastic matrix less than 1?

Published on 25 Mar 2026 - 9:10

score 871 · Answer 10 · 2026-03-27 06:51:22

871

Views

Hahn Banach extension question.

Published on 27 Mar 2026 - 6:51

score 113 · Answer 11 · 2026-03-26 07:55:37

113

Views

Upper bound for $(AB-BA)x$

Published on 26 Mar 2026 - 7:55

score 32 · Answer 12 · 2026-03-28 17:00:04

32

Views

Weird inequality with $l^1$-norm

Published on 28 Mar 2026 - 17:00

score 25 · Answer 13 · 2018-09-24 19:47:16

25

Views

Convergence in mean in a normed space

Published on 24 Sep 2018 - 19:47

score 243 · Answer 14 · 2018-09-25 13:39:43

243

Views

Does a norm induce an inner product uniquely in the sense that $\|x\|^2 = \langle x,x\rangle?$

Published on 25 Sep 2018 - 13:39

score 9k · Answer 15 · 2018-09-25 16:15:56

9k

Views

Why is the product of two norms is always bigger or equal to the norm of the same corresponding element?

Published on 25 Sep 2018 - 16:15

List Question

Show that the linear functional is bounded and find its norm.

Uniform continuous and bounded set of functions is closed under scalar multiplication

Operator norm of $T: L^{p}(0,\infty) \rightarrow L^{p}(0,\infty)$

"$(x_n, y_n)$ is weakly convergent to $(x,y)$" implies "$(x_n)$ is weakly converging to $x$"?

Show that the linear operator is bounded and find its norm

Does SVD give the best rank 1 approximation with respect to the Frobenius norm, L2 norm, or both?

Can we approximate any eigenvalue of a matrix via eigenvalues of some sequence diagonalizable matrices which approximates the matrix?

A lower bound for the condition number matrix

Is the 2-norm of the consensus part of a primitive row-stochastic matrix less than 1?

Hahn Banach extension question.

Upper bound for $(AB-BA)x$

Weird inequality with $l^1$-norm

Convergence in mean in a normed space

Does a norm induce an inner product uniquely in the sense that $\|x\|^2 = \langle x,x\rangle?$

Why is the product of two norms is always bigger or equal to the norm of the same corresponding element?

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