Question

Is the addition and scalar multiplication continuous with respect to this particular topology?

score 327 · Answer 1 · 2026-03-26 13:01:04

327

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Is the addition and scalar multiplication continuous with respect to this particular topology?

Published on 26 Mar 2026 - 13:01

score 2.6k · Answer 2 · 2026-03-25 22:10:19

2.6k

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Upper bound on expected norm of subgaussian random matrix

Published on 25 Mar 2026 - 22:10

score 144 · Answer 3 · 2026-03-28 12:57:03

144

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Showing weakly continuous operators are continuous without using weak topology

Published on 28 Mar 2026 - 12:57

score 307 · Answer 4 · 2019-02-15 19:33:01

307

Views

Is $0$ the only vector in the kernel of every bounded linear functional?

Published on 15 Feb 2019 - 19:33

score 1.3k · Answer 5 · 2026-03-30 03:56:22

1.3k

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Importance of equivalence of norms

Published on 30 Mar 2026 - 3:56

score 1.7k · Answer 6 · 2026-03-25 22:26:49

1.7k

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Normed space $C^2[0,1]$ with norm $\lVert f\rVert:=\max_{t\in[0,1]}\{\lvert f(t)\rvert+\lvert f''(t)\rvert\}$ is Banach space

Published on 25 Mar 2026 - 22:26

score 38 · Answer 7 · 2026-03-26 09:48:13

38

Views

Question about an inequality about geometric mean

Published on 26 Mar 2026 - 9:48

score 1.1k · Answer 8 · 2026-03-25 06:19:50

1.1k

Views

Must a Convergent Net in a Normed Space be Bounded?

Published on 25 Mar 2026 - 6:19

score 30 · Answer 9 · 2019-02-17 18:39:47

30

Views

Why is $\|x+y\|^2=4 \| (x+y)/2 \|^2$ in Normed space?

Published on 17 Feb 2019 - 18:39

score 256 · Answer 10 · 2019-02-17 19:31:01

256

Views

Prove that $\Vert T \Vert =\sup\limits_{\Vert x \Vert< 1}\Vert T x \Vert,\;\forall\;T\in B(X,Y).$

Published on 17 Feb 2019 - 19:31

score 41 · Answer 11 · 2026-03-25 06:05:24

41

Views

Weak-continuity of an operator on the vector space of measures

Published on 25 Mar 2026 - 6:05

score 25 · Answer 12 · 2019-02-18 11:20:46

25

Views

$\alpha N_1-\beta N_2$ is a norm where $N_2<N_1$

Published on 18 Feb 2019 - 11:20

score 333 · Answer 13 · 2026-03-31 00:41:07

333

Views

What is the relationship between $||.||_{max}$ and energy of a matrix?

Published on 31 Mar 2026 - 0:41

score 664 · Answer 14 · 2026-03-30 07:40:15

664

Views

If the dual of a topological vector space separates points, does it separate a point and a closed subspace?

Published on 30 Mar 2026 - 7:40

score 1k · Answer 15 · 2019-02-19 12:00:09

1k

Views

L1 norm and completing the square

Published on 19 Feb 2019 - 12:00

List Question

Is the addition and scalar multiplication continuous with respect to this particular topology?

Upper bound on expected norm of subgaussian random matrix

Showing weakly continuous operators are continuous without using weak topology

Is $0$ the only vector in the kernel of every bounded linear functional?

Importance of equivalence of norms

Normed space $C^2[0,1]$ with norm $\lVert f\rVert:=\max_{t\in[0,1]}\{\lvert f(t)\rvert+\lvert f''(t)\rvert\}$ is Banach space

Question about an inequality about geometric mean

Must a Convergent Net in a Normed Space be Bounded?

Why is $\|x+y\|^2=4 \| (x+y)/2 \|^2$ in Normed space?

Prove that $\Vert T \Vert =\sup\limits_{\Vert x \Vert< 1}\Vert T x \Vert,\;\forall\;T\in B(X,Y).$

Weak-continuity of an operator on the vector space of measures

$\alpha N_1-\beta N_2$ is a norm where $N_2<N_1$

What is the relationship between $||.||_{max}$ and energy of a matrix?

If the dual of a topological vector space separates points, does it separate a point and a closed subspace?

L1 norm and completing the square

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