Question

If Derivative at each point $x \in \Bbb R^n$ is an orthogonal matrix then $f(x) = Ox +b $

score 216 · Answer 1 · 2026-03-25 06:58:55

216

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If Derivative at each point $x \in \Bbb R^n$ is an orthogonal matrix then $f(x) = Ox +b $

Published on 25 Mar 2026 - 6:58

score 39 · Answer 2 · 2018-08-14 07:55:26

39

Views

Any bounded operator $T:E\to\ell_\infty$ can be expressed as $Te = (e_n^(e))_{n=1}\infty$ for some sequence $(e_n^)$ in $E^*$?

Published on 14 Aug 2018 - 7:55

score 116 · Answer 3 · 2018-08-14 21:31:22

116

Views

Prove that Lei-Lin space is a Banach space

Published on 14 Aug 2018 - 21:31

score 84 · Answer 4 · 2026-03-26 04:32:21

84

Views

Is $T^{\prime\prime}$ injective for injective $T\in\mathfrak{L}(E,F)$?

Published on 26 Mar 2026 - 4:32

score 66 · Answer 5 · 2026-03-25 09:31:45

66

Views

Is $E^{\prime\prime}$ weak*-separable for separable Banach spaces?

Published on 25 Mar 2026 - 9:31

score 265 · Answer 6 · 2018-08-16 14:57:11

265

Views

Bounded operators versus bounded sequences

Published on 16 Aug 2018 - 14:57

score 766 · Answer 7 · 2018-08-17 17:44:26

766

Views

Basis of infinite dimensional Banach space and separable hilbert space

Published on 17 Aug 2018 - 17:44

score 113 · Answer 8 · 2026-03-25 16:44:23

113

Views

Any two norms on a finite dimensional $\Bbb K$-linear space are equivalent.

Published on 25 Mar 2026 - 16:44

score 302 · Answer 9 · 2018-08-18 18:01:20

302

Views

The space of continuous function from an interval into a Hilbert space is homeomorphic with the Hilbert space

Published on 18 Aug 2018 - 18:01

score 52 · Answer 10 · 2026-03-25 01:36:19

52

Views

No closest point to the subspace in $L_1([0,1])$

Published on 25 Mar 2026 - 1:36

score 248 · Answer 11 · 2018-08-20 03:46:55

248

Views

Reference Request: Smooth Arzela-Ascoli Theorem

Published on 20 Aug 2018 - 3:46

score 1.3k · Answer 12 · 2026-03-25 09:27:37

1.3k

Views

Normed Space $X$ is complete iff every absolutely convergent series in $X$ converges

Published on 25 Mar 2026 - 9:27

score 160 · Answer 13 · 2026-02-23 04:52:42

160

Views

Proof-checking proof of Banach space

Published on 23 Feb 2026 - 4:52

score 460 · Answer 14 · 2026-03-25 03:06:59

460

Views

Does the modulus of a linear operator change continuously with the operator?

Published on 25 Mar 2026 - 3:06

score 130 · Answer 15 · 2026-03-25 07:46:07

130

Views

One assumption in the proof of one result of Hahn-Banach theorem.

Published on 25 Mar 2026 - 7:46

List Question

If Derivative at each point $x \in \Bbb R^n$ is an orthogonal matrix then $f(x) = Ox +b $

Any bounded operator $T:E\to\ell_\infty$ can be expressed as $Te = (e_n^(e))_{n=1}\infty$ for some sequence $(e_n^)$ in $E^*$?

Prove that Lei-Lin space is a Banach space

Is $T^{\prime\prime}$ injective for injective $T\in\mathfrak{L}(E,F)$?

Is $E^{\prime\prime}$ weak*-separable for separable Banach spaces?

Bounded operators versus bounded sequences

Basis of infinite dimensional Banach space and separable hilbert space

Any two norms on a finite dimensional $\Bbb K$-linear space are equivalent.

The space of continuous function from an interval into a Hilbert space is homeomorphic with the Hilbert space

No closest point to the subspace in $L_1([0,1])$

Reference Request: Smooth Arzela-Ascoli Theorem

Normed Space $X$ is complete iff every absolutely convergent series in $X$ converges

Proof-checking proof of Banach space

Does the modulus of a linear operator change continuously with the operator?

One assumption in the proof of one result of Hahn-Banach theorem.

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