List questions from banach-spaces

Published on 10 May 2026 - 13:46

426

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Closed subspace of the second dual of a Banach space

Published on 10 May 2026 - 12:34

390

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Weak and Weak* convergences implying reflexivity

Published on 20 Apr 2026 - 14:07

34

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Why is the union of a flag of Banach spaces not complete?

Published on 16 Apr 2026 - 6:02

38

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Prove that $A^n$ converges to the null operator $A \in \mathcal B(H)$, $||A||<1$

Published on 12 Apr 2026 - 7:52

279

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False proof that infinite dimensional Banach space has no countable basis

Published on 14 Apr 2026 - 2:22

19

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Properties of (Af)(x, y)= (x+iy)f(x,y) on compact domain

Published on 10 Apr 2026 - 16:05

107

Views

Given $T:E^\to E^,$ does there exist $S:E\to E$ such that $\langle Te^,e \rangle = \langle e^,Se\rangle?$

Published on 10 May 2026 - 13:45

282

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Piecewise Holder functions

Published on 10 May 2026 - 15:20

68

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Local Representation theorems on Banach spaces from paper by S.Dayal

Published on 10 May 2026 - 14:57

82

Views

Prove that $\|f\|_{p,q}= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(R), h \in L^q(R)\}$ is a norm on $L^p(R)+L^q(R) $

Published on 10 May 2026 - 12:39

920

Views

Image of a closed set is closed under bounded linear transformation between Banach spaces?

Published on 07 May 2026 - 1:33

67

Views

Proving a space is not complete by finding an absolutely convergent series

Published on 29 Apr 2026 - 12:25

120

Views

Bounded linear invertible operator of norm 1

Published on 10 May 2026 - 13:24

77

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Show that $N(f)= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(\mathbb{R}), h \in L^q(\mathbb{R})\}$ is a norm on $L^p(\mathbb{R})+L^q(\mathbb{R}) $

Published on 10 May 2026 - 13:51

List Question

Is Banach Space of Lipschitz Function Separable?

Closed subspace of the second dual of a Banach space

Weak and Weak* convergences implying reflexivity

Why is the union of a flag of Banach spaces not complete?

Prove that $A^n$ converges to the null operator $A \in \mathcal B(H)$, $||A||<1$

False proof that infinite dimensional Banach space has no countable basis

Properties of (Af)(x, y)= (x+iy)f(x,y) on compact domain

Given $T:E^\to E^,$ does there exist $S:E\to E$ such that $\langle Te^,e \rangle = \langle e^,Se\rangle?$

Piecewise Holder functions

Local Representation theorems on Banach spaces from paper by S.Dayal

Prove that $\|f\|_{p,q}= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(R), h \in L^q(R)\}$ is a norm on $L^p(R)+L^q(R) $

Image of a closed set is closed under bounded linear transformation between Banach spaces?

Proving a space is not complete by finding an absolutely convergent series

Bounded linear invertible operator of norm 1

Show that $N(f)= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(\mathbb{R}), h \in L^q(\mathbb{R})\}$ is a norm on $L^p(\mathbb{R})+L^q(\mathbb{R}) $

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