Question

Continuous functions defined on $[a, b]$ with values in a non-locally convex topological vector space that are not integrable?

score 129 · Answer 1 · 2026-04-13 08:31:56

129

Views

Continuous functions defined on $[a, b]$ with values in a non-locally convex topological vector space that are not integrable?

Published on 13 Apr 2026 - 8:31

score 842 · Answer 2 · 2026-04-14 22:30:40

842

Views

Orbit of a matrix can generates a basis?

Published on 14 Apr 2026 - 22:30

score 83 · Answer 3 · 2026-05-10 12:29:57

83

Views

A particular TVS

Published on 10 May 2026 - 12:29

score 3.1k · Answer 4 · 2026-04-11 12:05:32

3.1k

Views

Geometric Interpretation of Eigendecomposition

Published on 11 Apr 2026 - 12:05

score 116 · Answer 5 · 2026-04-15 22:28:14

116

Views

Any differential equation has a complete reparametrization

Published on 15 Apr 2026 - 22:28

score 81 · Answer 6 · 2026-05-10 14:07:12

81

Views

Integration of representations of a locally compact group

Published on 10 May 2026 - 14:07

score 52 · Answer 7 · 2026-04-14 17:54:30

52

Views

Second adjoint into a subspace

Published on 14 Apr 2026 - 17:54

score 299 · Answer 8 · 2026-04-09 01:21:57

299

Views

Theorem 1.24 Rudin, Functional analysis (first half)

Published on 09 Apr 2026 - 1:21

score 50 · Answer 9 · 2026-04-16 06:32:46

50

Views

Let $x,y \in X$, $X$ topological vector space then there are two neighborhoods $V_x,V_y$ such that $V_x + V_y \subset W$

Published on 16 Apr 2026 - 6:32

score 340 · Answer 10 · 2026-04-12 08:22:27

340

Views

Theorem 1.14 (b) Rudin functional analysis, few clarifications.

Published on 12 Apr 2026 - 8:22

score 80 · Answer 11 · 2026-04-16 11:51:47

80

Views

A topology on the set of bounded Borel measurable functions.

Published on 16 Apr 2026 - 11:51

score 57 · Answer 12 · 2026-04-15 09:01:15

57

Views

Edit: Prove that $(U,\delta)$ is complete where $\delta(x,y)=d(x,y)+\Big|\frac{1}{d(x,F)}-\frac{1}{d(y,F)}\Big|,\;\;\forall\; x,y\in U$

Published on 15 Apr 2026 - 9:01

score 430 · Answer 13 · 2026-04-17 04:31:44

430

Views

$E$ be a normed vector space. Prove that $U+V$ is open in E

Published on 17 Apr 2026 - 4:31

score 77 · Answer 14 · 2026-04-15 07:24:29

77

Views

If $d_1\sim d_2$ and $I:(E,d_1)\to(E,d_2) $, prove that $I$ is continuous.

Published on 15 Apr 2026 - 7:24

score 41 · Answer 15 · 2026-04-15 17:31:02

41

Views

Let U be open in $\Bbb{R}^n$ such that $U\neq \emptyset$ . Prove that if U is complete, then $U=\Bbb{R}^n$

Published on 15 Apr 2026 - 17:31

List Question

Continuous functions defined on $[a, b]$ with values in a non-locally convex topological vector space that are not integrable?

Orbit of a matrix can generates a basis?

A particular TVS

Geometric Interpretation of Eigendecomposition

Any differential equation has a complete reparametrization

Integration of representations of a locally compact group

Second adjoint into a subspace

Theorem 1.24 Rudin, Functional analysis (first half)

Let $x,y \in X$, $X$ topological vector space then there are two neighborhoods $V_x,V_y$ such that $V_x + V_y \subset W$

Theorem 1.14 (b) Rudin functional analysis, few clarifications.

A topology on the set of bounded Borel measurable functions.

Edit: Prove that $(U,\delta)$ is complete where $\delta(x,y)=d(x,y)+\Big|\frac{1}{d(x,F)}-\frac{1}{d(y,F)}\Big|,\;\;\forall\; x,y\in U$

$E$ be a normed vector space. Prove that $U+V$ is open in E

If $d_1\sim d_2$ and $I:(E,d_1)\to(E,d_2) $, prove that $I$ is continuous.

Let U be open in $\Bbb{R}^n$ such that $U\neq \emptyset$ . Prove that if U is complete, then $U=\Bbb{R}^n$

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