Question

Show, that $c$ and $c_0$ is a Banach space

score 1.8k · Answer 1 · 2026-04-13 16:23:15

1.8k

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Show, that $c$ and $c_0$ is a Banach space

Published on 13 Apr 2026 - 16:23

score 1.6k · Answer 2 · 2026-04-15 21:42:52

1.6k

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Show there is a continuous isomorphism $l_{\infty}\rightarrow \left(l_1\right)^* $

Published on 15 Apr 2026 - 21:42

score 3.1k · Answer 3 · 2026-04-12 23:08:59

3.1k

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Show that the closure of $C_c(X)$ is $C_0(X)$.

Published on 12 Apr 2026 - 23:08

score 269 · Answer 4 · 2026-04-03 20:11:02

269

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Pseudo-resolvent function

Published on 03 Apr 2026 - 20:11

score 1k · Answer 5 · 2026-04-17 12:37:03

1k

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The space of continuous functions from $\mathbb{R}$ to $\mathbb{R}$

Published on 17 Apr 2026 - 12:37

score 96 · Answer 6 · 2026-04-13 09:58:17

96

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$\|L(v)\| \leq \|L\|\cdot\|v\|$ on Banach spaces

Published on 13 Apr 2026 - 9:58

score 374 · Answer 7 · 2026-04-14 12:49:55

374

Views

Do linear transformations of convergent sequences converge?

Published on 14 Apr 2026 - 12:49

score 764 · Answer 8 · 2026-04-15 16:28:41

764

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The space $C[a,b]$ with $\|f\|:=\int_a^b |f(x)|d(x)$ is a normed space but not a Banach space

Published on 15 Apr 2026 - 16:28

score 102 · Answer 9 · 2026-04-13 16:31:42

102

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Differentiability of an action of the group of invertible elements of a $C^{*}$-algebra $\mathcal{A}$ on the dual of $\mathcal{A}$

Published on 13 Apr 2026 - 16:31

score 159 · Answer 10 · 2026-04-14 18:55:02

159

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$C[a,b]$ with $\|f\|:=\int_a^b |f(x)|d(x)$ is a normed space but not a Banach space

Published on 14 Apr 2026 - 18:55

score 445 · Answer 11 · 2026-04-12 07:06:23

445

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References for actions of infinite-dimensional Banach-Lie groups on infinite-dimensional Banach manifolds

Published on 12 Apr 2026 - 7:06

score 169 · Answer 12 · 2026-04-14 14:57:29

169

Views

Continuity in dual space with weak$^*$- topology

Published on 14 Apr 2026 - 14:57

score 95 · Answer 13 · 2026-04-15 18:29:29

95

Views

$Y,Z$ be linear subspaces of a Banach space $X$ ; $Y$ be finite dimensional , $Z$ closed in $X$ ; is $Y+Z$ closed in $X$?

Published on 15 Apr 2026 - 18:29

score 390 · Answer 14 · 2026-04-15 07:33:41

390

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$X,Y$ be Banach , $T \in \mathcal B(X,Y)$ be onto ; then , for every sequence $y_n \to y \in Y$ , $\exists x_n \to x\in X$ s.t. $T(x_n)=y_n , T(x)=y$?

Published on 15 Apr 2026 - 7:33

score 92 · Answer 15 · 2026-04-12 10:06:02

92

Views

Spectrum of an Operator on a Banachspace

Published on 12 Apr 2026 - 10:06

List Question

Show, that $c$ and $c_0$ is a Banach space

Show there is a continuous isomorphism $l_{\infty}\rightarrow \left(l_1\right)^* $

Show that the closure of $C_c(X)$ is $C_0(X)$.

Pseudo-resolvent function

The space of continuous functions from $\mathbb{R}$ to $\mathbb{R}$

$\|L(v)\| \leq \|L\|\cdot\|v\|$ on Banach spaces

Do linear transformations of convergent sequences converge?

The space $C[a,b]$ with $\|f\|:=\int_a^b |f(x)|d(x)$ is a normed space but not a Banach space

Differentiability of an action of the group of invertible elements of a $C^{*}$-algebra $\mathcal{A}$ on the dual of $\mathcal{A}$

$C[a,b]$ with $\|f\|:=\int_a^b |f(x)|d(x)$ is a normed space but not a Banach space

References for actions of infinite-dimensional Banach-Lie groups on infinite-dimensional Banach manifolds

Continuity in dual space with weak$^*$- topology

$Y,Z$ be linear subspaces of a Banach space $X$ ; $Y$ be finite dimensional , $Z$ closed in $X$ ; is $Y+Z$ closed in $X$?

$X,Y$ be Banach , $T \in \mathcal B(X,Y)$ be onto ; then , for every sequence $y_n \to y \in Y$ , $\exists x_n \to x\in X$ s.t. $T(x_n)=y_n , T(x)=y$?

Spectrum of an Operator on a Banachspace

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