Question

Weak convergence $\iff$ strong convergence in finite dimensional space

score 6k · Answer 1 · 2026-04-17 03:10:09

6k

Views

Weak convergence $\iff$ strong convergence in finite dimensional space

Published on 17 Apr 2026 - 3:10

score 101 · Answer 2 · 2026-04-12 10:46:26

101

Views

Is the set of adjoint operators weak* closed?

Published on 12 Apr 2026 - 10:46

score 249 · Answer 3 · 2026-04-17 07:52:44

249

Views

Show $F_b (\Omega, X)$ is a Banach space

Published on 17 Apr 2026 - 7:52

score 554 · Answer 4 · 2026-04-09 02:07:06

554

Views

Problem in functional analysis: application of open mapping theorem

Published on 09 Apr 2026 - 2:07

score 206 · Answer 5 · 2026-04-14 01:55:57

206

Views

$X$ be Banach space with a proper dense subspace $Y$. Can the identity operator on $Y$ be extended to a continuous function from $X$ into $Y$?

Published on 14 Apr 2026 - 1:55

score 383 · Answer 6 · 2026-04-12 22:05:35

383

Views

A complex unital algebra which is a Banach space is also a Banach algebra

Published on 12 Apr 2026 - 22:05

score 1.3k · Answer 7 · 2026-04-17 00:03:44

1.3k

Views

isomorphism between $C[0,1]$ and $C^1[0,1]$

Published on 17 Apr 2026 - 0:03

score 99 · Answer 8 · 2026-04-16 11:46:09

99

Views

$f \in \mathcal l^{\infty}{'} $ ; $f(x)\ge 0$ whenever $x \in \mathcal l^{\infty} $ is a sequence of non-negative terms ; is $f$ bounded?

Published on 16 Apr 2026 - 11:46

score 112 · Answer 9 · 2026-04-17 05:55:57

112

Views

$X$ be finite dimensional real NLS , let $x \in X$ , does there exist $T \in \mathcal B(X)$ such that $\{T^n(x):n \in \mathbb N\}$ is dense in $X$?

Published on 17 Apr 2026 - 5:55

score 145 · Answer 10 · 2026-03-29 04:48:51

145

Views

Affine contractions from linear contractions?

Published on 29 Mar 2026 - 4:48

score 1.6k · Answer 11 · 2026-04-14 18:59:26

1.6k

Views

Can the real vector space of all real sequences be normed so that it is complete ?

Published on 14 Apr 2026 - 18:59

score 484 · Answer 12 · 2026-04-14 23:24:09

484

Views

completion of $C^{\infty}\left(S\right)$ is $L^2(S)$?

Published on 14 Apr 2026 - 23:24

score 300 · Answer 13 · 2026-04-16 15:56:48

300

Views

Symmetric norms on $\mathbb{R}^n$ are between the $\ell^1$ and $\ell^\infty$ norms

Published on 16 Apr 2026 - 15:56

score 266 · Answer 14 · 2026-04-12 01:44:49

266

Views

Proof, that a set is not convex

Published on 12 Apr 2026 - 1:44

score 76 · Answer 15 · 2026-04-11 08:44:25

76

Views

Banach space and invertible linear operator

Published on 11 Apr 2026 - 8:44

List Question

Weak convergence $\iff$ strong convergence in finite dimensional space

Is the set of adjoint operators weak* closed?

Show $F_b (\Omega, X)$ is a Banach space

Problem in functional analysis: application of open mapping theorem

$X$ be Banach space with a proper dense subspace $Y$. Can the identity operator on $Y$ be extended to a continuous function from $X$ into $Y$?

A complex unital algebra which is a Banach space is also a Banach algebra

isomorphism between $C[0,1]$ and $C^1[0,1]$

$f \in \mathcal l^{\infty}{'} $ ; $f(x)\ge 0$ whenever $x \in \mathcal l^{\infty} $ is a sequence of non-negative terms ; is $f$ bounded?

$X$ be finite dimensional real NLS , let $x \in X$ , does there exist $T \in \mathcal B(X)$ such that $\{T^n(x):n \in \mathbb N\}$ is dense in $X$?

Affine contractions from linear contractions?

Can the real vector space of all real sequences be normed so that it is complete ?

completion of $C^{\infty}\left(S\right)$ is $L^2(S)$?

Symmetric norms on $\mathbb{R}^n$ are between the $\ell^1$ and $\ell^\infty$ norms

Proof, that a set is not convex

Banach space and invertible linear operator

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