List questions from banach-spaces

Published on 21 May 2018 - 14:31

92

Views

Norms are equivalent if one hand side of inequality holds

Published on 22 May 2018 - 10:47

245

Views

If $X$ is a Banach space, is $\ell^{p}(X) \cong \ell^{q}(X^{*})$?

Published on 25 Mar 2026 - 18:49

239

Views

Space of finite measures as an $L_1$ space

Published on 22 May 2018 - 15:40

968

Views

Prove normed vector space is a Banach space

Published on 24 May 2018 - 18:46

59

Views

Example of a Map of Banach Spaces over a Non-Archimedian Field with Non-Closed Image

Published on 25 Mar 2026 - 3:17

568

Views

Non equivalent norms

Published on 26 May 2018 - 11:16

53

Views

Identifying $L^p$-space of a measure space with the $L^p$-space of a set.

Published on 25 Mar 2026 - 20:12

93

Views

Proving this condition for convergence in a Banach space

Published on 25 Mar 2026 - 6:11

501

Views

Space of linear, continuous, hyperbolic functions is open, dense in the set of invertible functions

Published on 25 Mar 2026 - 17:40

49

Views

Show that $J\colon V \to \mathbb{R}$ is convex

Published on 24 Mar 2026 - 22:09

493

Views

Weak continuity of functions with values in a Banach space

Published on 25 Mar 2026 - 15:59

290

Views

For which Banach space tensor products is the multiplication in a C*-algebra a linear map?

Published on 26 Mar 2026 - 4:51

131

Views

fixed point of a multivalued map

Published on 23 Mar 2026 - 10:17

426

Views

Problem based on Open Mapping Theorem in Functional Analysis

Published on 25 Mar 2026 - 15:56

List Question

Using the Fredholm Alternative to Prove that a Transformation is a Bijection

Norms are equivalent if one hand side of inequality holds

If $X$ is a Banach space, is $\ell^{p}(X) \cong \ell^{q}(X^{*})$?

Space of finite measures as an $L_1$ space

Prove normed vector space is a Banach space

Example of a Map of Banach Spaces over a Non-Archimedian Field with Non-Closed Image

Non equivalent norms

Identifying $L^p$-space of a measure space with the $L^p$-space of a set.

Proving this condition for convergence in a Banach space

Space of linear, continuous, hyperbolic functions is open, dense in the set of invertible functions

Show that $J\colon V \to \mathbb{R}$ is convex

Weak continuity of functions with values in a Banach space

For which Banach space tensor products is the multiplication in a C*-algebra a linear map?

fixed point of a multivalued map

Problem based on Open Mapping Theorem in Functional Analysis

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