List questions from functional-calculus

Published on 19 Jun 2022 - 20:56

31

Views

What is the motivation to minimize the length of the boundary in the Mumford and Shah energy?

Published on 22 Jun 2022 - 14:57

94

Views

Question regarding the definition of a functional

Published on 29 Jun 2022 - 22:43

95

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Is a holomorphic Function of a matrix invertible?

Published on 02 Jul 2022 - 23:09

2k

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The matrix logarithm is well-defined - but how can we algebraically see that it is inverse to the exponential, as a finite polynomial?

Published on 14 Jul 2022 - 0:17

302

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Minimizing a functional using Fourier series

Published on 25 Jul 2022 - 17:36

65

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If $m(d)=Fd$ and $l(d)=\mathbf{1}^T d$ then what is $\nabla_m (l)$?

Published on 29 Jul 2022 - 3:57

97

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Self adjoint inverse

Published on 24 Aug 2022 - 19:46

140

Views

Euler-Lagrange equation for functionals

Published on 04 Sep 2022 - 19:22

147

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Can the fact "If $\phi$ is a Hermitian linear functional on a $C^$-algebra $A$ then $||\phi|| = \sup\{\phi(x):x = x^, ||x|| = 1\}$" be generalized?

Published on 15 Sep 2022 - 13:57

122

Views

Pathwise differentiation under integrated measurement (stochastic volatility) models.

Published on 10 Oct 2022 - 9:20

90

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Does an Operator on $C^2[0,1]$ exist?

Published on 14 Oct 2022 - 17:59

87

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Continuous functional calculus of multiplication operator

Published on 05 Nov 2022 - 22:07

119

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Unital $C^\ast$-algebra $\mathcal{A}$ with positive elements $\mathcal{A}$.

Published on 22 Nov 2022 - 17:03

92

Views

Self-adjoint elements $A_1$ and $A_2$ in a $C^\ast$-algebra

Published on 25 Nov 2022 - 12:50

List Question

Existence/uniqueness of closure of densely defined linear map between Banach spaces.

What is the motivation to minimize the length of the boundary in the Mumford and Shah energy?

Question regarding the definition of a functional

Is a holomorphic Function of a matrix invertible?

The matrix logarithm is well-defined - but how can we algebraically see that it is inverse to the exponential, as a finite polynomial?

Minimizing a functional using Fourier series

If $m(d)=Fd$ and $l(d)=\mathbf{1}^T d$ then what is $\nabla_m (l)$?

Self adjoint inverse

Euler-Lagrange equation for functionals

Can the fact "If $\phi$ is a Hermitian linear functional on a $C^$-algebra $A$ then $||\phi|| = \sup\{\phi(x):x = x^, ||x|| = 1\}$" be generalized?

Pathwise differentiation under integrated measurement (stochastic volatility) models.

Does an Operator on $C^2[0,1]$ exist?

Continuous functional calculus of multiplication operator

Unital $C^\ast$-algebra $\mathcal{A}$ with positive elements $\mathcal{A}$.

Self-adjoint elements $A_1$ and $A_2$ in a $C^\ast$-algebra

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