List questions from normed-spaces

Published on 13 Apr 2026 - 8:43

142

Views

Why does convergence to zero in two norms imply equivalence?

Published on 11 Apr 2026 - 22:34

11.2k

Views

Is the convex hull of a compact set compact?

Published on 09 Apr 2026 - 2:51

179

Views

Exists norms such that $\|x\|=\ell$ but $|x_k|>\ell$ for some $k=\{1,\ldots,n\}$?

Published on 15 Apr 2026 - 0:24

56

Views

How can we prove the following matrices inequality?

Published on 13 Apr 2026 - 23:42

121

Views

Prove that if A invertible and $\left\lVert A-B\right\rVert <\left\lVert A^{-1}\right\rVert ^{-1}$ then the following inequality holds

Published on 16 Apr 2026 - 13:14

125

Views

Normed convergence Vs. Convergence in norm

Published on 09 Apr 2026 - 17:19

250

Views

The existence of a countable dense subset

Published on 13 Apr 2026 - 2:00

286

Views

Euclidean norm proof

Published on 14 Apr 2026 - 4:26

1.6k

Views

Norm of Inverse of sums of positive definite matrices.

Published on 11 Apr 2026 - 23:02

360

Views

Let $E$ and $F$ normed vector spaces of finite dimension. Prove that any linear function is Lipschitz

Published on 15 Apr 2026 - 10:30

65

Views

Does $A = \{T\in B(R \ ^{d}) : T(x_0) = 0\} $ is open?

Published on 15 Apr 2026 - 16:57

3.1k

Views

Interpreting the meaning of the distance between two functions

Published on 17 Apr 2026 - 12:56

113

Views

Is $A = \{ \{x_n\}_{n=1}^{\infty} = x \in l \ ^ 2: \sum_{n=1}^{\infty} |x_n| < \infty \} $ open? closed?

Published on 15 Apr 2026 - 5:21

245

Views

Norm of an operator in $\ell^p$

Published on 10 Apr 2026 - 15:59

List Question

Showing that $||w-u||=||w-v||.$ in a circle with perpendicular tangents

Why does convergence to zero in two norms imply equivalence?

Is the convex hull of a compact set compact?

Exists norms such that $\|x\|=\ell$ but $|x_k|>\ell$ for some $k=\{1,\ldots,n\}$?

How can we prove the following matrices inequality?

Prove that if A invertible and $\left\lVert A-B\right\rVert <\left\lVert A^{-1}\right\rVert ^{-1}$ then the following inequality holds

Normed convergence Vs. Convergence in norm

The existence of a countable dense subset

Euclidean norm proof

Norm of Inverse of sums of positive definite matrices.

Let $E$ and $F$ normed vector spaces of finite dimension. Prove that any linear function is Lipschitz

Does $A = \{T\in B(R \ ^{d}) : T(x_0) = 0\} $ is open?

Interpreting the meaning of the distance between two functions

Is $A = \{ \{x_n\}_{n=1}^{\infty} = x \in l \ ^ 2: \sum_{n=1}^{\infty} |x_n| < \infty \} $ open? closed?

Norm of an operator in $\ell^p$

Trending Questions

Popular # Hahtags

Popular Questions