List questions from banach-spaces

Published on 13 Sep 2018 - 14:43

179

Views

Lagrange multiplier method on Banach spaces (in Dirac notation)

Published on 25 Mar 2026 - 6:51

453

Views

Polynomial ring as a (complete) metric space

Published on 17 Sep 2018 - 19:30

506

Views

$\left( \sum_{i=1}^N a_i^2\right)^{1/2} \leq \left(\mathbb{E} \left| \sum_{i=1}^N a_iX_i\right|^p \right)^{1/p}$ for all $p \geq2$?

Published on 18 Sep 2018 - 2:31

34

Views

determining the image of a linear operator

Published on 18 Sep 2018 - 6:08

251

Views

Infinite dimensional Banach lattice $L^\infty(X)$ is not order continuous

Published on 25 Mar 2026 - 3:03

1k

Views

Is the space of probability density functions Banach?

Published on 19 Sep 2018 - 8:44

120

Views

Tensor product of dual spaces and dual space of tensor product

Published on 26 Mar 2026 - 1:25

76

Views

Equivalence of norm in Banach Space

Published on 25 Mar 2026 - 3:07

89

Views

Some concepts of $C^*$-algebra generalized from linear algebra. Can anyone help me to check if they are correct, and give some examples?

Published on 25 Mar 2026 - 17:21

154

Views

Are these two definitions of adjoint identical to each other?

Published on 26 Mar 2026 - 6:07

870

Views

Hahn Banach extension question.

Published on 24 Sep 2018 - 5:24

121

Views

Please check my proof of a bounded linear operator and to show it a finite rank operator

Published on 25 Mar 2026 - 11:15

160

Views

How can we use Hahn-Banach Theorem to prove a functional is linear and bounded?

Published on 25 Mar 2026 - 17:25

223

Views

$\sum_{n \in \mathbb{N}} x_n$ converges if $\sum_{n \in \mathbb{N}} \|x_n\|$ is bounded?

Published on 24 Sep 2018 - 18:05

List Question

Simple Question Regarding Isomorphic Banach Spaces

Lagrange multiplier method on Banach spaces (in Dirac notation)

Polynomial ring as a (complete) metric space

$\left( \sum_{i=1}^N a_i^2\right)^{1/2} \leq \left(\mathbb{E} \left| \sum_{i=1}^N a_iX_i\right|^p \right)^{1/p}$ for all $p \geq2$?

determining the image of a linear operator

Infinite dimensional Banach lattice $L^\infty(X)$ is not order continuous

Is the space of probability density functions Banach?

Tensor product of dual spaces and dual space of tensor product

Equivalence of norm in Banach Space

Some concepts of $C^*$-algebra generalized from linear algebra. Can anyone help me to check if they are correct, and give some examples?

Are these two definitions of adjoint identical to each other?

Hahn Banach extension question.

Please check my proof of a bounded linear operator and to show it a finite rank operator

How can we use Hahn-Banach Theorem to prove a functional is linear and bounded?

$\sum_{n \in \mathbb{N}} x_n$ converges if $\sum_{n \in \mathbb{N}} \|x_n\|$ is bounded?

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