Question

Show that the following is a bounded linear operator on $L^2(R_+)$ Calculate the adjoint operator.

score 118 · Answer 1 · 2016-06-06 06:46:34

118

Views

Show that the following is a bounded linear operator on $L^2(R_+)$ Calculate the adjoint operator.

Published on 06 Jun 2016 - 6:46

score 631 · Answer 2 · 2017-04-15 12:28:14

631

Views

"Proof" that weak convergence implies strong convergence, even for infinite dimensional spaces

Published on 15 Apr 2017 - 12:28

score 1k · Answer 3 · 2017-04-15 12:50:50

1k

Views

A subsequence of a weakly convergent sequence $x_n$ is strongly convergent to $x$, then the sequence $x_n$ is strongly convergent to $x$?

Published on 15 Apr 2017 - 12:50

score 133 · Answer 4 · 2017-05-15 00:39:11

133

Views

Let $T_{n}:X \rightarrow Y$ bounded s.t $\left\|T_{n}\right\| \rightarrow \infty$, Then $\exists x_{0}\in X$ s.t $|T_{n}(x_{0})|\rightarrow \infty$

Published on 15 May 2017 - 0:39

score 4.7k · Answer 5 · 2017-05-15 21:06:38

4.7k

Views

What distinguishes weak and strong convergence of bounded linear operator in Banach spaces?

Published on 15 May 2017 - 21:06

score 1.4k · Answer 6 · 2017-06-12 18:20:04

1.4k

Views

Uniform, strong and weak convergence of the operators

Published on 12 Jun 2017 - 18:20

score 227 · Answer 7 · 2017-07-26 09:48:56

227

Views

$A$ is strongly dense in its double commutant $A^{''}$

Published on 26 Jul 2017 - 9:48

score 2.1k · Answer 8 · 2017-09-20 16:16:40

2.1k

Views

Counter example: strong convergence does not imply convergence in operator norm

Published on 20 Sep 2017 - 16:16

score 1.1k · Answer 9 · 2017-10-01 20:50:55

1.1k

Views

Why do this sequence converges weakly but not strongly?

Published on 01 Oct 2017 - 20:50

score 824 · Answer 10 · 2017-11-18 18:07:30

824

Views

Weakly convergent sequence with a strongly convergence subsequence

Published on 18 Nov 2017 - 18:07

score 47 · Answer 11 · 2020-09-10 18:55:04

47

Views

Lim sup nets proof, is it valid?

Published on 10 Sep 2020 - 18:55

score 96 · Answer 12 · 2020-12-03 11:26:46

96

Views

A question about Sobolev space and the relationship between the weak convergence on it and the strong convergence on L^p space.

Published on 03 Dec 2020 - 11:26

score 493 · Answer 13 · 2020-12-04 23:23:17

493

Views

Does left-multiplication by compact operators turn strong-convergence into norm-convergence?

Published on 04 Dec 2020 - 23:23

score 68 · Answer 14 · 2020-12-07 09:39:46

68

Views

Does weak convergence in $L^\infty(\mathbb{R},L^p(\mathbb{R}^n))$ imply strong convergence in $L^p_{loc}(\mathbb{R}\times\mathbb{R}^n)$?

Published on 07 Dec 2020 - 9:39

score 749 · Answer 15 · 2020-12-10 20:13:03

749

Views

Are strong convergence of measure and almost sure convergence of a random variable related?

Published on 10 Dec 2020 - 20:13

List Question

Show that the following is a bounded linear operator on $L^2(R_+)$ Calculate the adjoint operator.

"Proof" that weak convergence implies strong convergence, even for infinite dimensional spaces

A subsequence of a weakly convergent sequence $x_n$ is strongly convergent to $x$, then the sequence $x_n$ is strongly convergent to $x$?

Let $T_{n}:X \rightarrow Y$ bounded s.t $\left\|T_{n}\right\| \rightarrow \infty$, Then $\exists x_{0}\in X$ s.t $|T_{n}(x_{0})|\rightarrow \infty$

What distinguishes weak and strong convergence of bounded linear operator in Banach spaces?

Uniform, strong and weak convergence of the operators

$A$ is strongly dense in its double commutant $A^{''}$

Counter example: strong convergence does not imply convergence in operator norm

Why do this sequence converges weakly but not strongly?

Weakly convergent sequence with a strongly convergence subsequence

Lim sup nets proof, is it valid?

A question about Sobolev space and the relationship between the weak convergence on it and the strong convergence on L^p space.

Does left-multiplication by compact operators turn strong-convergence into norm-convergence?

Does weak convergence in $L^\infty(\mathbb{R},L^p(\mathbb{R}^n))$ imply strong convergence in $L^p_{loc}(\mathbb{R}\times\mathbb{R}^n)$?

Are strong convergence of measure and almost sure convergence of a random variable related?

Trending Questions

Popular # Hahtags

Popular Questions