List questions from normed-spaces

Published on 11 Apr 2026 - 20:19

191

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Definition of norm when dealing with inner product space

Published on 11 Apr 2026 - 12:26

213

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Is the diagonal $ \ \Delta : C[0,1] \to C[0,1] \ $ closed?

Published on 15 Apr 2026 - 18:10

4.6k

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Derivative of a vector divided by its norm w.r.t a parameter

Published on 16 Apr 2026 - 4:58

206

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Is it the C*-norm in disguise? [Yes, within the realm of commutativity.]

Published on 10 Apr 2026 - 16:20

66

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Equivalence in inner product spaces.

Published on 12 Apr 2026 - 21:10

220

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If $T$ is a linear map then $\|T(x)\|<\infty$

Published on 14 Apr 2026 - 5:13

145

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Verify that $\lVert\cdot\rVert_1$ is a vector norm <triangular inequality>

Published on 15 Apr 2026 - 3:39

478

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Proof that no normed space is compact

Published on 10 Apr 2026 - 19:51

38

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Under some conditions show that $B$ is invertible

Published on 13 Apr 2026 - 19:12

88

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Arithmetic mean of a sequence in normed vector spaces

Published on 16 Apr 2026 - 10:46

194

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Prove The density the range of the following operator

Published on 11 Apr 2026 - 0:11

2.5k

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What does "max" refer to in the definition of a matrix norm?

Published on 10 Apr 2026 - 17:29

708

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definition of $W_0^{1,p}$-Sobolev spaces

Published on 15 Apr 2026 - 9:36

53

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Proof of $\operatorname{sep}(\lambda, A)\leq \operatorname{dist}(\lambda,\sigma(A))$ for general matrices $A$

Published on 12 Apr 2026 - 13:11

List Question

A property of the Minkowski functional

Definition of norm when dealing with inner product space

Is the diagonal $ \ \Delta : C[0,1] \to C[0,1] \ $ closed?

Derivative of a vector divided by its norm w.r.t a parameter

Is it the C*-norm in disguise? [Yes, within the realm of commutativity.]

Equivalence in inner product spaces.

If $T$ is a linear map then $\|T(x)\|<\infty$

Verify that $\lVert\cdot\rVert_1$ is a vector norm <triangular inequality>

Proof that no normed space is compact

Under some conditions show that $B$ is invertible

Arithmetic mean of a sequence in normed vector spaces

Prove The density the range of the following operator

What does "max" refer to in the definition of a matrix norm?

definition of $W_0^{1,p}$-Sobolev spaces

Proof of $\operatorname{sep}(\lambda, A)\leq \operatorname{dist}(\lambda,\sigma(A))$ for general matrices $A$

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