List questions from banach-spaces

Published on 26 Mar 2019 - 4:39

44

Views

Bochner integral on non complete space

Published on 25 Mar 2026 - 23:51

146

Views

Norm in $ \ell_{\infty} /c_0 $

Published on 27 Mar 2019 - 21:11

633

Views

Mean Value Inequality in Banach Space without Hahn-Banach or Integrals

Published on 25 Mar 2026 - 13:33

71

Views

If $A+B$ is a compact non-zero operator, which properties follow for $A$ and $B$?

Published on 25 Mar 2026 - 20:42

46

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$X$ Banach, $u_n \to u$ and $x^_n \xrightarrow{w^} x^$ implie that $\langle x^_n, u_n\rangle \to \langle x^*,u\rangle$.

Published on 25 Mar 2026 - 12:49

177

Views

Closed hyperplanes on a normed space are isomorphic

Published on 30 Mar 2019 - 17:01

203

Views

Let $A: X \rightarrow Y$ a bijective continous map between two Banach spaces X and Y. Then, $A^{-1}$ is also continous?

Published on 25 Mar 2026 - 16:03

26

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Reference Request: Projection from $L^1$ onto $L^2$

Published on 25 Mar 2026 - 22:30

107

Views

Showing linear, continuous operator from Banach space into particular quotient space is open

Published on 01 Apr 2019 - 16:08

783

Views

Is a linearly independent set whose span is dense a Schauder basis?

Published on 25 Mar 2026 - 3:22

98

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functional analysis : to show this space is a Banach space

Published on 02 Apr 2019 - 8:40

601

Views

Is there a notion of a continuous basis of a Banach space?

Published on 25 Mar 2026 - 3:21

51

Views

Variant of the Contraction Mapping Theorem

Published on 27 Mar 2026 - 10:33

24

Views

$C[X,R]$ a closed subspace of $B[X,R]$

Published on 03 Apr 2019 - 7:04

List Question

Does closed convex sets having unique nearest points imply the parallelogram law?

Bochner integral on non complete space

Norm in $ \ell_{\infty} /c_0 $

Mean Value Inequality in Banach Space without Hahn-Banach or Integrals

If $A+B$ is a compact non-zero operator, which properties follow for $A$ and $B$?

$X$ Banach, $u_n \to u$ and $x^_n \xrightarrow{w^} x^$ implie that $\langle x^_n, u_n\rangle \to \langle x^*,u\rangle$.

Closed hyperplanes on a normed space are isomorphic

Let $A: X \rightarrow Y$ a bijective continous map between two Banach spaces X and Y. Then, $A^{-1}$ is also continous?

Reference Request: Projection from $L^1$ onto $L^2$

Showing linear, continuous operator from Banach space into particular quotient space is open

Is a linearly independent set whose span is dense a Schauder basis?

functional analysis : to show this space is a Banach space

Is there a notion of a continuous basis of a Banach space?

Variant of the Contraction Mapping Theorem

$C[X,R]$ a closed subspace of $B[X,R]$

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