Question

Continuous bilinear maps on sections of vector bundles

score 133 · Answer 1 · 2026-03-30 23:22:32

133

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Continuous bilinear maps on sections of vector bundles

Published on 30 Mar 2026 - 23:22

score 54 · Answer 2 · 2021-12-21 10:47:53

54

Views

Extension by continuity on metric spaces

Published on 21 Dec 2021 - 10:47

score 157 · Answer 3 · 2026-03-27 08:42:09

157

Views

Proving that $L^1(X,M,\mu)$ is not reflexive

Published on 27 Mar 2026 - 8:42

score 240 · Answer 4 · 2021-12-24 02:15:01

240

Views

Two definitions of complete algebraic reducibility are equivalent by Zorn's lemma. Does this equivalence stay for topological spaces?

Published on 24 Dec 2021 - 2:15

score 255 · Answer 5 · 2026-04-02 13:03:33

255

Views

L'Hôpital's rule in topological vector spaces

Published on 02 Apr 2026 - 13:03

score 35 · Answer 6 · 2021-12-29 00:52:28

35

Views

How to obtain $V_1$ and $V_2$ such that $f(V_1 \times V_2) \subseteq U$?

Published on 29 Dec 2021 - 0:52

score 131 · Answer 7 · 2021-12-29 08:30:38

131

Views

Let $X$ be a topological vector space and $C$ a convex subset of $X$. Then $\operatorname{int} C$ and $\overline C$ are convex.

Published on 29 Dec 2021 - 8:30

score 29 · Answer 8 · 2021-12-29 10:54:08

29

Views

Let $\lambda \notin [0, 1]$ and $x \neq y$ such that $x,y\in \partial C$. Then $\lambda x + (1-\lambda)y \notin \overline C$

Published on 29 Dec 2021 - 10:54

score 47 · Answer 9 · 2021-12-29 12:11:19

47

Views

Let $X$ be a t.v.s., $C \subseteq X$ convex, and $\operatorname{int} C \neq \emptyset$. Then $\overline C = \overline{\operatorname{int} C}$

Published on 29 Dec 2021 - 12:11

score 62 · Answer 10 · 2021-12-30 11:31:05

62

Views

Let $E$ be a topological vector space and $f:E \to \mathbb R$ linear. Then $f$ is continuous if and only if $f$ is continuous at $0$.

Published on 30 Dec 2021 - 11:31

score 79 · Answer 11 · 2021-12-30 13:19:04

79

Views

Let $E$ be a t.v.s. and $f$ linear. Is is true that $\{x \in E \mid f(x) = \alpha\}$ is closed implies $f$ is continuous?

Published on 30 Dec 2021 - 13:19

score 188 · Answer 12 · 2021-12-30 21:17:26

188

Views

Let $E$ be a t.v.s. and $f$ linear. The hyperplane $\{x \in E \mid f(x) = \alpha\}$ is closed if and only if $f$ is continuous

Published on 30 Dec 2021 - 21:17

score 90 · Answer 13 · 2021-12-31 14:19:16

90

Views

Let $E$ be a t.v.s. and $A, B \subseteq E$ with $A$ compact and $B$ closed. Then $A+B$ is closed

Published on 31 Dec 2021 - 14:19

score 86 · Answer 14 · 2026-03-27 17:50:19

86

Views

Jordan decomposition functional $C^*$-algebra

Published on 27 Mar 2026 - 17:50

score 62 · Answer 15 · 2022-01-01 12:12:51

62

Views

Generalize Fenchel-Rockafellar's theorem

Published on 01 Jan 2022 - 12:12

List Question

Continuous bilinear maps on sections of vector bundles

Extension by continuity on metric spaces

Proving that $L^1(X,M,\mu)$ is not reflexive

Two definitions of complete algebraic reducibility are equivalent by Zorn's lemma. Does this equivalence stay for topological spaces?

L'Hôpital's rule in topological vector spaces

How to obtain $V_1$ and $V_2$ such that $f(V_1 \times V_2) \subseteq U$?

Let $X$ be a topological vector space and $C$ a convex subset of $X$. Then $\operatorname{int} C$ and $\overline C$ are convex.

Let $\lambda \notin [0, 1]$ and $x \neq y$ such that $x,y\in \partial C$. Then $\lambda x + (1-\lambda)y \notin \overline C$

Let $X$ be a t.v.s., $C \subseteq X$ convex, and $\operatorname{int} C \neq \emptyset$. Then $\overline C = \overline{\operatorname{int} C}$

Let $E$ be a topological vector space and $f:E \to \mathbb R$ linear. Then $f$ is continuous if and only if $f$ is continuous at $0$.

Let $E$ be a t.v.s. and $f$ linear. Is is true that $\{x \in E \mid f(x) = \alpha\}$ is closed implies $f$ is continuous?

Let $E$ be a t.v.s. and $f$ linear. The hyperplane $\{x \in E \mid f(x) = \alpha\}$ is closed if and only if $f$ is continuous

Let $E$ be a t.v.s. and $A, B \subseteq E$ with $A$ compact and $B$ closed. Then $A+B$ is closed

Jordan decomposition functional $C^*$-algebra

Generalize Fenchel-Rockafellar's theorem

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