List questions from normed-spaces

Published on 25 Mar 2026 - 12:53

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some confusion regarding vector spaces..

Published on 01 Mar 2018 - 19:05

65

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Average vector norm after 'dropping' a few dimensions

Published on 26 Mar 2026 - 12:32

263

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On Sobolev space $W^{2,2}$, is the inner product of the derivative of a function and the function itself zero?

Published on 26 Mar 2026 - 14:22

533

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The space of convergent sequences is not dual to any space.

Published on 25 Mar 2026 - 11:15

411

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On $\mathcal{C}([0,1])$, whether the operator $(\Lambda f)(x)=xf(x)$ is compact.

Published on 25 Mar 2026 - 11:10

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Prove strict convex norm equivalence

Published on 02 Mar 2018 - 14:19

90

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interpolation in multiobjective optimization of linear functions

Published on 24 Mar 2026 - 23:51

61

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Exercise in Calculus of Variation: Upper bound for energy functional

Published on 25 Mar 2026 - 17:45

65

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Checking if a functional $F(x)$ is a norm in $\mathbb{R}^2$

Published on 03 Mar 2018 - 20:45

162

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Proving an inequality about orthogonal projections

Published on 25 Mar 2026 - 13:54

118

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Normed Spaces and Balls

Published on 04 Mar 2018 - 21:26

4.4k

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Closure of Ball = Closed Ball in Normed Space

Published on 05 Mar 2018 - 0:02

107

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Characterizing elements with square norms in quadratic integer rings

Published on 23 Mar 2026 - 5:57

25

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Showing that $||X||_1 = \max_{−I \leq H \leq I} \text{tr}[XH]$ where $||.||_1$ is the Schatten 1-norm

Published on 05 Mar 2018 - 5:05

List Question

Finding a bounded sequence of $C[0,\pi]$ such that it has no cauchy subsequnce

some confusion regarding vector spaces..

Average vector norm after 'dropping' a few dimensions

On Sobolev space $W^{2,2}$, is the inner product of the derivative of a function and the function itself zero?

The space of convergent sequences is not dual to any space.

On $\mathcal{C}([0,1])$, whether the operator $(\Lambda f)(x)=xf(x)$ is compact.

Prove strict convex norm equivalence

interpolation in multiobjective optimization of linear functions

Exercise in Calculus of Variation: Upper bound for energy functional

Checking if a functional $F(x)$ is a norm in $\mathbb{R}^2$

Proving an inequality about orthogonal projections

Normed Spaces and Balls

Closure of Ball = Closed Ball in Normed Space

Characterizing elements with square norms in quadratic integer rings

Showing that $||X||_1 = \max_{−I \leq H \leq I} \text{tr}[XH]$ where $||.||_1$ is the Schatten 1-norm

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