List questions from normed-spaces

Published on 26 Mar 2026 - 12:40

2.3k

Views

Every compact operator on a Banach space with the approximation property is a norm-limit of finite rank operators

Published on 26 Mar 2026 - 12:37

340

Views

Norm of an integral operator

Published on 26 Mar 2026 - 23:14

140

Views

Distance of two vectors under L_inf norm

Published on 10 Sep 2014 - 2:38

1.8k

Views

Show that if X is a normed linear space, then any finite-dimensional subspace M of X must be closed.

Published on 10 Sep 2014 - 4:39

227

Views

An inequality using Sobolev norms

Published on 01 Apr 2026 - 5:16

61

Views

Extending linear continuous functions.

Published on 11 Sep 2014 - 20:03

4.3k

Views

Operator norm and Hilbert Schmidt norm

Published on 03 Apr 2026 - 7:27

489

Views

How to prove that the L2 norm is a non-increasing function of time for a 2nd-order PDE?

Published on 26 Mar 2026 - 17:32

323

Views

Dual operator of an isometry

Published on 01 Apr 2026 - 1:35

1.1k

Views

If any two norms on a vector space are equivalent then the space is finite-dimensional

Published on 18 Sep 2014 - 6:39

602

Views

Weakly compact operator on $c_0$ is compact

Published on 26 Mar 2026 - 16:04

543

Views

Is it true that $\biggl\|I-\frac{vv^T}{v^Tv}\biggr\|=1$?

Published on 18 Sep 2014 - 14:02

126

Views

Show that an operator is weakly compact

Published on 26 Mar 2026 - 14:17

81

Views

Prove that for $0<p<1$, $|x-y|^p$ is a metric space on $\mathbb R^{n}$

Published on 19 Sep 2014 - 16:24

List Question

An example of a non-compact operator which is equal to (norm) limit of compact operators

Every compact operator on a Banach space with the approximation property is a norm-limit of finite rank operators

Norm of an integral operator

Distance of two vectors under L_inf norm

Show that if X is a normed linear space, then any finite-dimensional subspace M of X must be closed.

An inequality using Sobolev norms

Extending linear continuous functions.

Operator norm and Hilbert Schmidt norm

How to prove that the L2 norm is a non-increasing function of time for a 2nd-order PDE?

Dual operator of an isometry

If any two norms on a vector space are equivalent then the space is finite-dimensional

Weakly compact operator on $c_0$ is compact

Is it true that $\biggl\|I-\frac{vv^T}{v^Tv}\biggr\|=1$?

Show that an operator is weakly compact

Prove that for $0<p<1$, $|x-y|^p$ is a metric space on $\mathbb R^{n}$

Trending Questions

Popular # Hahtags

Popular Questions