List questions from banach-spaces

Published on 14 Jun 2014 - 10:45

215

Views

Isometric isomorphism between $\ell^{1}(\mathbb{R}^{3})$ and $\ell^{\infty}(\mathbb{R}^{3})$

Published on 14 Jun 2014 - 18:46

125

Views

How to show $\{f_n\}_{n=1}^\infty$ has uniformly convergent subsequence on [0,1]?

Published on 16 Jun 2014 - 7:54

330

Views

Topological Vector Space: $\dim Z\text{ finite}\implies Z\text{ closed}$

Published on 16 Jun 2014 - 19:46

73

Views

Conicide of $w^*$ and norm topology on $S_{\ell_1}$

Published on 17 Jun 2014 - 13:41

1.2k

Views

Extension of a linear operator

Published on 17 Jun 2014 - 17:18

720

Views

Weakly compact closed balls in reflexive space

Published on 17 Jun 2014 - 17:19

969

Views

Riesz Lemma for reflexive spaces

Published on 18 Jun 2014 - 16:54

407

Views

An example of a separable Banach sequence space in which the finite support sequences are not dense?

Published on 18 Jun 2014 - 14:48

861

Views

Theorems on continuous embedding

Published on 30 Mar 2026 - 5:00

159

Views

A question about uniform convergence in proof that $L^\infty$ is Banach.

Published on 19 Jun 2014 - 17:11

118

Views

the point where all functional are non zero

Published on 20 Jun 2014 - 22:09

155

Views

Example of open operator but not closed

Published on 21 Jun 2014 - 5:59

85

Views

weak$^∗$ neighborhood of $x$ in $\ell_1$

Published on 21 Jun 2014 - 11:12

230

Views

A question about a dense subset in Banach space.

Published on 21 Jun 2014 - 11:27

List Question

Asymptotically isometric copy of $\ell_1$

Isometric isomorphism between $\ell^{1}(\mathbb{R}^{3})$ and $\ell^{\infty}(\mathbb{R}^{3})$

How to show $\{f_n\}_{n=1}^\infty$ has uniformly convergent subsequence on [0,1]?

Topological Vector Space: $\dim Z\text{ finite}\implies Z\text{ closed}$

Conicide of $w^*$ and norm topology on $S_{\ell_1}$

Extension of a linear operator

Weakly compact closed balls in reflexive space

Riesz Lemma for reflexive spaces

An example of a separable Banach sequence space in which the finite support sequences are not dense?

Theorems on continuous embedding

A question about uniform convergence in proof that $L^\infty$ is Banach.

the point where all functional are non zero

Example of open operator but not closed

weak$^∗$ neighborhood of $x$ in $\ell_1$

A question about a dense subset in Banach space.

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