List questions from normed-spaces

Published on 07 May 2026 - 13:42

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Convergence of the square of a positive sequence to the square of a positive function

Published on 10 Apr 2026 - 20:54

335

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For a NVS $X$ and a closed proper subspace $Y\subset X$, show that $\forall\,\epsilon\gt0,\,\exists \,x\in X:\|x\|=1,d(x,Y)\ge1-\epsilon.$

Published on 17 Apr 2026 - 16:48

158

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Inequalities for the norms of the fractional Fourier transform

Published on 21 Apr 2026 - 5:16

34

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Infinite norm of $T(x_1,\ldots,x_n) = \sum_{i = 1}^n a_ix_i$

Published on 15 Apr 2026 - 10:08

55

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Is there a relation between norm defined on a vector space V and norm defined on its boundary?

Published on 02 May 2026 - 20:19

1k

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Norm and determinant of matrices

Published on 10 May 2026 - 15:12

119

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Convergence of a Normed Linear Space

Published on 11 Apr 2026 - 18:30

549

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Question on definition of $\;\alpha-$Holder norms

Published on 07 May 2026 - 10:09

215

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Norm on a bounded linear operator between Banach spaces

Published on 10 May 2026 - 11:19

208

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Let $X$ be a normed space. If $X$ is weakly sequentially complete, then $X$ is reflexive.

Published on 10 May 2026 - 12:53

180

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Problems with adjoint operator

Published on 29 Apr 2026 - 12:24

78

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What does $\sigma(X^,(X^,wk^)^)$ stand for?

Published on 10 May 2026 - 12:52

89

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Do the following $l_1$-functionals attain their norm?

Published on 11 Apr 2026 - 23:58

380

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Bounded continuous functions in $L^\infty$.

Published on 10 May 2026 - 15:53

List Question

Proving $||u_h||_1^2=(f,u_h)$ for mixed finite elements

Convergence of the square of a positive sequence to the square of a positive function

For a NVS $X$ and a closed proper subspace $Y\subset X$, show that $\forall\,\epsilon\gt0,\,\exists \,x\in X:\|x\|=1,d(x,Y)\ge1-\epsilon.$

Inequalities for the norms of the fractional Fourier transform

Infinite norm of $T(x_1,\ldots,x_n) = \sum_{i = 1}^n a_ix_i$

Is there a relation between norm defined on a vector space V and norm defined on its boundary?

Norm and determinant of matrices

Convergence of a Normed Linear Space

Question on definition of $\;\alpha-$Holder norms

Norm on a bounded linear operator between Banach spaces

Let $X$ be a normed space. If $X$ is weakly sequentially complete, then $X$ is reflexive.

Problems with adjoint operator

What does $\sigma(X^,(X^,wk^)^)$ stand for?

Do the following $l_1$-functionals attain their norm?

Bounded continuous functions in $L^\infty$.

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