List questions from banach-spaces

Published on 15 Nov 2016 - 10:16

345

Views

Is there any example of a sequence in Banach space that is not a basic sequence?

Published on 15 Nov 2016 - 12:25

277

Views

Is there another (non-equivalent) norm on $C[0,1]$ that makes it a Banach space?

Published on 15 Nov 2016 - 22:49

181

Views

Given contraction in $\|\cdot \|_2$ norm, what is the contraction in $\|\cdot\|_\infty$ norm?

Published on 25 Mar 2026 - 16:01

127

Views

Approximation property for $C^k([0,1]^m)$

Published on 26 Mar 2026 - 3:05

122

Views

Normed convergence Vs. Convergence in norm

Published on 17 Nov 2016 - 7:48

100

Views

Sequence of linear maps between Banach Spaces and Banach-Steinhaus theorem.

Published on 17 Nov 2016 - 11:47

1.1k

Views

Density of the canonical embedding $J: E \mapsto E^{**}$

Published on 26 Mar 2026 - 20:38

272

Views

Reflexive Banach Space: For any $x ∈ E$, there exists $x_0 ∈ M$ so that $|x−x_0| =\inf\{|x−y| :y ∈ M \}$

Published on 17 Nov 2016 - 22:01

821

Views

Are $\ell_p$ spaces complete under the $q$-norm?

Published on 19 Nov 2016 - 11:59

64

Views

Point on the proof that a Banach space $X$ is reflexive iff $X'$ is reflexive.

Published on 19 Nov 2016 - 17:36

318

Views

An LSC, nonnegative sublinear functional is "bounded"

Published on 20 Nov 2016 - 2:58

224

Views

The definition of closed linear span and unconditional convergence

Published on 20 Nov 2016 - 13:16

970

Views

Help understanding these examples of weak and weak-* convergence.

Published on 20 Nov 2016 - 16:41

830

Views

Invertible linear Operators

Published on 25 Mar 2026 - 19:17

List Question

$f$ well defined, continuous, not bounded and maps to $l^2$

Is there any example of a sequence in Banach space that is not a basic sequence?

Is there another (non-equivalent) norm on $C[0,1]$ that makes it a Banach space?

Given contraction in $\|\cdot \|_2$ norm, what is the contraction in $\|\cdot\|_\infty$ norm?

Approximation property for $C^k([0,1]^m)$

Normed convergence Vs. Convergence in norm

Sequence of linear maps between Banach Spaces and Banach-Steinhaus theorem.

Density of the canonical embedding $J: E \mapsto E^{**}$

Reflexive Banach Space: For any $x ∈ E$, there exists $x_0 ∈ M$ so that $|x−x_0| =\inf\{|x−y| :y ∈ M \}$

Are $\ell_p$ spaces complete under the $q$-norm?

Point on the proof that a Banach space $X$ is reflexive iff $X'$ is reflexive.

An LSC, nonnegative sublinear functional is "bounded"

The definition of closed linear span and unconditional convergence

Help understanding these examples of weak and weak-* convergence.

Invertible linear Operators

Trending Questions

Popular # Hahtags

Popular Questions