Question

When you extend a bounded, injective, and compact operator with dense image, is the extension also injective

score 54 · Answer 1 · 2026-03-25 20:58:00

54

Views

When you extend a bounded, injective, and compact operator with dense image, is the extension also injective

Published on 25 Mar 2026 - 20:58

score 94 · Answer 2 · 2026-03-26 07:58:16

94

Views

Isomorphism of a dual space

Published on 26 Mar 2026 - 7:58

score 154 · Answer 3 · 2023-10-04 11:57:42

154

Views

Does embedding of the Banach space into its bidual preserve extreme points of the unit ball?

Published on 04 Oct 2023 - 11:57

score 108 · Answer 4 · 2026-03-28 10:35:27

108

Views

Smoothness of $l_p$ norm

Published on 28 Mar 2026 - 10:35

score 31 · Answer 5 · 2026-03-28 18:03:50

31

Views

What is the importance of Banach space in the theory of semigroups of linear operators?

Published on 28 Mar 2026 - 18:03

score 59 · Answer 6 · 2026-03-28 08:51:27

59

Views

Banach subalgebra generated by commutative set equals the centralizer of its centralizer

Published on 28 Mar 2026 - 8:51

score 93 · Answer 7 · 2026-03-28 10:41:42

93

Views

Does Banach space $C^{n}[0,1]$ contains isometric copy of $c_0$?

Published on 28 Mar 2026 - 10:41

score 99 · Answer 8 · 2026-03-26 08:00:27

99

Views

$\|f \otimes g\|_{L^p} \leq \|f\|_{L^p} \|g\|_{L^p}$ for $1 \leq p \leq \infty$

Published on 26 Mar 2026 - 8:00

score 157 · Answer 9 · 2023-10-09 23:43:59

157

Views

How to prove that $Im(T)$ is not closed?

Published on 09 Oct 2023 - 23:43

score 213 · Answer 10 · 2026-03-25 23:34:57

213

Views

Hadamard differentiability of function

Published on 25 Mar 2026 - 23:34

score 94 · Answer 11 · 2023-10-10 16:07:37

94

Views

False proof: every Cauchy sequence converges to $0$ if absolute convergence implies convergence.

Published on 10 Oct 2023 - 16:07

score 55 · Answer 12 · 2023-10-14 04:07:35

55

Views

Banach adjoint of natural inclusion map

Published on 14 Oct 2023 - 4:07

score 50 · Answer 13 · 2026-02-23 06:22:23

50

Views

Reflexivity and Separability of $L^p(0,T; X)$ spaces

Published on 23 Feb 2026 - 6:22

score 49 · Answer 14 · 2023-10-16 13:38:30

49

Views

Weak star convergence in $L^{\infty}$ and strong convergence in $L^2$ imply strong convergence in $L^p$

Published on 16 Oct 2023 - 13:38

score 255 · Answer 15 · 2023-10-16 21:19:20

255

Views

Bounded operators in Hilbert and Banach spaces

Published on 16 Oct 2023 - 21:19

List Question

When you extend a bounded, injective, and compact operator with dense image, is the extension also injective

Isomorphism of a dual space

Does embedding of the Banach space into its bidual preserve extreme points of the unit ball?

Smoothness of $l_p$ norm

What is the importance of Banach space in the theory of semigroups of linear operators?

Banach subalgebra generated by commutative set equals the centralizer of its centralizer

Does Banach space $C^{n}[0,1]$ contains isometric copy of $c_0$?

$\|f \otimes g\|_{L^p} \leq \|f\|_{L^p} \|g\|_{L^p}$ for $1 \leq p \leq \infty$

How to prove that $Im(T)$ is not closed?

Hadamard differentiability of function

False proof: every Cauchy sequence converges to $0$ if absolute convergence implies convergence.

Banach adjoint of natural inclusion map

Reflexivity and Separability of $L^p(0,T; X)$ spaces

Weak star convergence in $L^{\infty}$ and strong convergence in $L^2$ imply strong convergence in $L^p$

Bounded operators in Hilbert and Banach spaces

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