List questions from banach-spaces

Published on 15 Dec 2016 - 20:12

74

Views

Stuck while trying to show $(\mathbb{R}^d, || \cdot ||_p)$ is complete

Published on 27 Mar 2026 - 5:37

168

Views

Proof that $\|u+w\|^2 \geq \|u+w\|^2 - 2(\|v\|^2 - 1) + (\|v\|-1)^2 \geq 4 $

Published on 16 Dec 2016 - 17:15

48

Views

completeness in banach-steinhauss theorem

Published on 27 Mar 2026 - 8:40

227

Views

Functional Analysis, Sequence of continuous linear functionals

Published on 20 Dec 2016 - 14:16

1.5k

Views

Сlosed, complete and total subsets

Published on 21 Dec 2016 - 18:43

152

Views

$\ell_p$-strictly singular operators and non-$\ell_p$-factoring operators

Published on 01 Apr 2026 - 22:53

322

Views

compact operator in banach spaces

Published on 22 Dec 2016 - 21:12

967

Views

Weak convergence and $\|f_{n}\|\rightarrow\|f\|$ implies strong convergence

Published on 23 Feb 2026 - 14:08

216

Views

Exercise with locally convex topological vector spaces

Published on 28 Mar 2026 - 18:14

504

Views

Banach Fixed Point

Published on 29 Mar 2026 - 20:12

1.3k

Views

Does the Fourier transform map $L^1(\mathbb{R})$ into itself?

Published on 28 Dec 2016 - 16:25

502

Views

Infinity norm inequality in continuous function space.

Published on 28 Dec 2016 - 19:43

326

Views

Different definitions of the continuity of the Gâteaux-Derivative are inequivalent in Banach spaces

Published on 25 Mar 2026 - 16:38

228

Views

Inverse of spectrum points of an operator

Published on 03 Apr 2026 - 2:59

List Question

Proof that $\frac{b}{1+b} \|u-v\| > \|v\| - 1$ and $\|u-w\| \geq (1+b)^{-1} \|u-v\|$

Stuck while trying to show $(\mathbb{R}^d, || \cdot ||_p)$ is complete

Proof that $\|u+w\|^2 \geq \|u+w\|^2 - 2(\|v\|^2 - 1) + (\|v\|-1)^2 \geq 4 $

completeness in banach-steinhauss theorem

Functional Analysis, Sequence of continuous linear functionals

Сlosed, complete and total subsets

$\ell_p$-strictly singular operators and non-$\ell_p$-factoring operators

compact operator in banach spaces

Weak convergence and $\|f_{n}\|\rightarrow\|f\|$ implies strong convergence

Exercise with locally convex topological vector spaces

Banach Fixed Point

Does the Fourier transform map $L^1(\mathbb{R})$ into itself?

Infinity norm inequality in continuous function space.

Different definitions of the continuity of the Gâteaux-Derivative are inequivalent in Banach spaces

Inverse of spectrum points of an operator

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