List questions from frechet-derivative

Published on 27 Nov 2019 - 13:33

54

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Differentiation under the integral sign and chain rule

Published on 27 Nov 2019 - 16:01

930

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Are Banach norms Fréchet differentiable?

Published on 17 Dec 2019 - 12:19

268

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Are strictly convex Banach norms Fréchet differentiable?

Published on 18 Dec 2019 - 10:30

65

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Are all FD-spaces strictly convex?

Published on 18 Dec 2019 - 18:24

215

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Is any Banach norm in $\mathbb{R}^n$ almost everywhere Fréchet differentiable?

Published on 19 Dec 2019 - 9:36

80

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For what $p \in [1; +\infty)$ is $l_p$ a FD-space?

Published on 19 Dec 2019 - 17:54

449

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Where is the $l_\infty$ norm Fréchet differentiable?

Published on 24 Dec 2019 - 17:40

1.3k

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$f(x,y) = \frac{x^3y}{x^4 + y^2}$ is not differentiable at $(0,0)$.

Published on 07 Jan 2020 - 12:05

123

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Differentiating term by term in a Banach space: how to justify it?

Published on 08 Jan 2020 - 12:12

187

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Analytic functions having non-zero derivative preserve angle between two curves.

Published on 08 Jan 2020 - 16:38

574

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Functional derivative where the functional is not an integral

Published on 10 Jan 2020 - 16:59

347

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Does $C^1$ imply locally Lipschitz on Banach spaces?

Published on 24 Jan 2020 - 18:21

418

Views

Is the Gateaux differential an inner product if the Frechet derivative exists?

Published on 25 Mar 2026 - 15:17

123

Views

Orthogonal derivative implies second derivative is null

Published on 22 Feb 2020 - 15:17

List Question

How can we compute the derivative of this integral functional?

Differentiation under the integral sign and chain rule

Are Banach norms Fréchet differentiable?

Are strictly convex Banach norms Fréchet differentiable?

Are all FD-spaces strictly convex?

Is any Banach norm in $\mathbb{R}^n$ almost everywhere Fréchet differentiable?

For what $p \in [1; +\infty)$ is $l_p$ a FD-space?

Where is the $l_\infty$ norm Fréchet differentiable?

$f(x,y) = \frac{x^3y}{x^4 + y^2}$ is not differentiable at $(0,0)$.

Differentiating term by term in a Banach space: how to justify it?

Analytic functions having non-zero derivative preserve angle between two curves.

Functional derivative where the functional is not an integral

Does $C^1$ imply locally Lipschitz on Banach spaces?

Is the Gateaux differential an inner product if the Frechet derivative exists?

Orthogonal derivative implies second derivative is null

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