List questions from functional-calculus

Published on 09 Apr 2026 - 17:07

31

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Derivative of a functional

Published on 11 Apr 2026 - 8:03

204

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Holomorphic functional calculus: a fixed point

Published on 10 Apr 2026 - 17:13

102

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A functional equation with conditions

Published on 10 Apr 2026 - 13:21

125

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Symbolic calculus to prove $e^{-(\alpha+\beta)T}=e^{-\alpha T}e^{-\beta T}$

Published on 23 Feb 2026 - 13:41

644

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Are the continuous functions dense in the set of bounded measurable functions?

Published on 23 Feb 2026 - 13:47

233

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For complex Banach algebra with not-connected spectrum, there is an idempotent for which the following property holds.

Published on 11 Apr 2026 - 8:46

83

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Does $p(a)=q(a)$ for all polynomials $p,q$ that coincide on the spectrum of $a$ imply that $a$ is normal?

Published on 23 Feb 2026 - 13:46

115

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Functional Derivative in Concordance function (copula theory)

Published on 11 Apr 2026 - 9:42

221

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Check if functional is linear & bounded and find its norm

Published on 11 Apr 2026 - 9:47

1.1k

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Functional differential equation (from Quantum Field Theory).

Published on 09 Apr 2026 - 0:03

109

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Does the chain rule need to account for derivatives as test functions?

Published on 23 Feb 2026 - 13:43

314

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When is a matrix function the Jacobian matrix of another mapping

Published on 11 Apr 2026 - 9:13

275

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Applications of functional calculus

Published on 10 Apr 2026 - 22:57

260

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Defining a function of an operator

Published on 08 Apr 2026 - 22:43

List Question

Reference Request: Good Introduction to Functional Calculus

Derivative of a functional

Holomorphic functional calculus: a fixed point

A functional equation with conditions

Symbolic calculus to prove $e^{-(\alpha+\beta)T}=e^{-\alpha T}e^{-\beta T}$

Are the continuous functions dense in the set of bounded measurable functions?

For complex Banach algebra with not-connected spectrum, there is an idempotent for which the following property holds.

Does $p(a)=q(a)$ for all polynomials $p,q$ that coincide on the spectrum of $a$ imply that $a$ is normal?

Functional Derivative in Concordance function (copula theory)

Check if functional is linear & bounded and find its norm

Functional differential equation (from Quantum Field Theory).

Does the chain rule need to account for derivatives as test functions?

When is a matrix function the Jacobian matrix of another mapping

Applications of functional calculus

Defining a function of an operator

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