List questions from banach-spaces

Published on 26 Mar 2026 - 23:11

41

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Is $Tf=x_0+\int_0^tf(t)(1-f)\,dt$ a Lipschitz function?

Published on 02 Apr 2026 - 23:57

1.3k

Views

Continuous operator between Banach spaces, closed range

Published on 08 Apr 2026 - 2:32

1.3k

Views

Proving that $\int_0^1 f(x)e^{nx}\,{\rm d}x = 0$ for all $n\in\mathbb{N}_0$ implies $f(x) = 0$

Published on 13 Jan 2015 - 10:26

1.7k

Views

Extending linear functional in non-unique way

Published on 09 Apr 2026 - 1:12

208

Views

Showing map is isometry between Banach quotient space

Published on 13 Jan 2015 - 14:05

1k

Views

Bounded Right Inverse

Published on 08 Apr 2026 - 18:02

232

Views

Is $x\mapsto \|Tx\|$ lower semi-continuous?

Published on 23 Feb 2026 - 14:53

89

Views

isometrically isomorphism

Published on 28 Mar 2026 - 15:55

753

Views

Equivalent characterizations for Reflexive spaces

Published on 19 Jan 2015 - 20:41

71

Views

Boundedness of linear operators in $L^p$

Published on 20 Jan 2015 - 15:19

685

Views

Does every closed, densely defined operator in a Banach space have a closed, densely defined extension on a Hilbert space?

Published on 25 Mar 2026 - 23:09

108

Views

Basic properties of uniform limits in Banach spaces

Published on 28 Mar 2026 - 10:16

190

Views

Most general setting for the fundamental theorem of curves

Published on 28 Mar 2026 - 10:16

729

Views

Is any bounded linear operator of dual spaces is dual of a linear operator?

Published on 07 Apr 2026 - 18:44

List Question

Continuity of the dual product reloaded

Is $Tf=x_0+\int_0^tf(t)(1-f)\,dt$ a Lipschitz function?

Continuous operator between Banach spaces, closed range

Proving that $\int_0^1 f(x)e^{nx}\,{\rm d}x = 0$ for all $n\in\mathbb{N}_0$ implies $f(x) = 0$

Extending linear functional in non-unique way

Showing map is isometry between Banach quotient space

Bounded Right Inverse

Is $x\mapsto \|Tx\|$ lower semi-continuous?

isometrically isomorphism

Equivalent characterizations for Reflexive spaces

Boundedness of linear operators in $L^p$

Does every closed, densely defined operator in a Banach space have a closed, densely defined extension on a Hilbert space?

Basic properties of uniform limits in Banach spaces

Most general setting for the fundamental theorem of curves

Is any bounded linear operator of dual spaces is dual of a linear operator?

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