List questions from banach-spaces

84

Views

Point on the proof that the inverse operator of $I-T$ is given by $(I-T)^{-1}=\sum_{k=0}^\infty T^k$

Published on 26 Sep 2015 - 20:10

39

Views

Showing that $\overline{ T(B_{X,1}(0))}$ in a Banach space $Y$ is convex.

Published on 28 Sep 2015 - 19:09

55

Views

Two vector spaces with homeomorphic open subsets are isomorphic?

Published on 11 Apr 2026 - 7:52

730

Views

Norm equivalence and Banach spaces

Published on 12 Apr 2026 - 0:20

140

Views

Is the Completeness of $X$ really necessary here?

Published on 10 Apr 2026 - 16:22

65

Views

Norm of the projection onto a maximal ideal

Published on 12 Apr 2026 - 14:54

101

Views

operator ideals and their relationship to the geometry of Banach spaces, and other questions

Published on 09 Apr 2026 - 11:10

174

Views

Norms in the dual and bidual of $C(X,E)$

Published on 12 Apr 2026 - 15:38

20

Views

How to show that $[|u(x)|+|h(x)|]^{p-1}|h(x)|\in L^1(\Omega)$?

Published on 11 Apr 2026 - 9:12

243

Views

Smoothnes of a map between Banach spaces when the pointwise evaluation is smooth.

Published on 12 Apr 2026 - 14:44

207

Views

Smoothness of component functions

Published on 12 Apr 2026 - 14:44

103

Views

Open subset of $\ell^1$

Published on 10 Apr 2026 - 10:50

88

Views

smooth Banach manifold structure on C^1(M,N), smoothnes of transtion maps.

Published on 08 Oct 2015 - 8:10

72

Views

To show that $p_n(x) \to x$ for every $x \in X$ if and only if $(\|p_n\|)$ is a bounded sequence and $\bigcup_{n=1}^{\infty}R(p_n)$ is dense in $X$

Published on 08 Oct 2015 - 11:04

27

Views

Conjugation: Boundedness

Published on 08 Oct 2015 - 23:02

List Question

Point on the proof that the inverse operator of $I-T$ is given by $(I-T)^{-1}=\sum_{k=0}^\infty T^k$

Showing that $\overline{ T(B_{X,1}(0))}$ in a Banach space $Y$ is convex.

Two vector spaces with homeomorphic open subsets are isomorphic?

Norm equivalence and Banach spaces

Is the Completeness of $X$ really necessary here?

Norm of the projection onto a maximal ideal

operator ideals and their relationship to the geometry of Banach spaces, and other questions

Norms in the dual and bidual of $C(X,E)$

How to show that $[|u(x)|+|h(x)|]^{p-1}|h(x)|\in L^1(\Omega)$?

Smoothnes of a map between Banach spaces when the pointwise evaluation is smooth.

Smoothness of component functions

Open subset of $\ell^1$

smooth Banach manifold structure on C^1(M,N), smoothnes of transtion maps.

To show that $p_n(x) \to x$ for every $x \in X$ if and only if $(\|p_n\|)$ is a bounded sequence and $\bigcup_{n=1}^{\infty}R(p_n)$ is dense in $X$

Conjugation: Boundedness

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