Question

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

score 126 · Answer 1 · 2018-05-23 13:44:41

126

Views

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

Published on 23 May 2018 - 13:44

score 840 · Answer 2 · 2026-03-25 10:53:44

840

Views

Orbit of a matrix can generates a basis?

Published on 25 Mar 2026 - 10:53

score 81 · Answer 3 · 2026-03-25 07:40:18

81

Views

A particular TVS

Published on 25 Mar 2026 - 7:40

score 3.1k · Answer 4 · 2018-06-11 21:20:21

3.1k

Views

Geometric Interpretation of Eigendecomposition

Published on 11 Jun 2018 - 21:20

score 113 · Answer 5 · 2018-06-12 05:43:34

113

Views

Any differential equation has a complete reparametrization

Published on 12 Jun 2018 - 5:43

score 80 · Answer 6 · 2026-03-25 08:09:40

80

Views

Integration of representations of a locally compact group

Published on 25 Mar 2026 - 8:09

score 48 · Answer 7 · 2026-03-24 23:40:56

48

Views

Second adjoint into a subspace

Published on 24 Mar 2026 - 23:40

score 296 · Answer 8 · 2018-06-25 17:12:09

296

Views

Theorem 1.24 Rudin, Functional analysis (first half)

Published on 25 Jun 2018 - 17:12

score 47 · Answer 9 · 2018-07-02 16:07:21

47

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 02 Jul 2018 - 16:07

score 337 · Answer 10 · 2018-07-03 14:44:13

337

Views

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

Published on 03 Jul 2018 - 14:44

score 77 · Answer 11 · 2018-07-08 08:29:19

77

Views

A topology on the set of bounded Borel measurable functions.

Published on 08 Jul 2018 - 8:29

score 55 · Answer 12 · 2018-08-10 00:05:46

55

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 10 Aug 2018 - 0:05

score 427 · Answer 13 · 2018-08-10 00:50:26

427

Views

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

Published on 10 Aug 2018 - 0:50

score 74 · Answer 14 · 2018-08-10 01:41:56

74

Views

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

Published on 10 Aug 2018 - 1:41

score 38 · Answer 15 · 2018-08-11 12:55:32

38

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 11 Aug 2018 - 12:55

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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