List questions from functional-calculus

Published on 08 Jan 2022 - 22:16

342

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In what situations are Path Integrals well-defined?

Published on 23 Jan 2022 - 19:59

32

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How is the complex functional derivative defined?

Published on 07 Feb 2022 - 21:21

319

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Solving the Euler Lagrange equation for the functional $L(y)=\int_{-1}^7\sqrt{1+y'^2} dx$

Published on 13 Apr 2022 - 9:28

64

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In what sense does continuity hold for unbounded functional calculus?

Published on 19 Apr 2022 - 23:18

55

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How to solve $L(u,v)=\int_{-1}^8\sqrt{u'^2+v'^2}dx$

Published on 23 Apr 2022 - 9:54

34

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Logarithm of bilateral shift $-i\log(U)$ acting on basis elements of $\ell^{2}(\mathbb{Z})$

Published on 27 Apr 2022 - 1:58

30

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Prove a certain functional is unbounded from above

Published on 24 Feb 2026 - 3:27

53

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Non constant solutions of the following equation

Published on 01 May 2022 - 19:35

33

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Check self adjointness of element

Published on 02 May 2022 - 16:44

111

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If an element in a Banach algebra is anihilated by an analytic function then it must be algebraic.

Published on 16 May 2022 - 21:46

195

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Continuity of polar decomposition

Published on 20 May 2022 - 0:03

13

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Does $(u \delta u^{})^{it} = u \delta^{it} u^{}$ hold, where $\delta$ is a (positive) self-adjoint unbounded operator and $u$ unitary?

Published on 26 May 2022 - 9:24

97

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Enveloping von Neumann algebra of $C(X)$ and the image of the Borel functional calculus

Published on 16 Jun 2022 - 18:03

35

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Substitute extremum back into functional (envelope theorem for functional)

Published on 17 Jun 2022 - 13:52

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Spectral Mapping Theorem for Polynomials Question

In what situations are Path Integrals well-defined?

How is the complex functional derivative defined?

Solving the Euler Lagrange equation for the functional $L(y)=\int_{-1}^7\sqrt{1+y'^2} dx$

In what sense does continuity hold for unbounded functional calculus?

How to solve $L(u,v)=\int_{-1}^8\sqrt{u'^2+v'^2}dx$

Logarithm of bilateral shift $-i\log(U)$ acting on basis elements of $\ell^{2}(\mathbb{Z})$

Prove a certain functional is unbounded from above

Non constant solutions of the following equation

Check self adjointness of element

If an element in a Banach algebra is anihilated by an analytic function then it must be algebraic.

Continuity of polar decomposition

Does $(u \delta u^{})^{it} = u \delta^{it} u^{}$ hold, where $\delta$ is a (positive) self-adjoint unbounded operator and $u$ unitary?

Enveloping von Neumann algebra of $C(X)$ and the image of the Borel functional calculus

Substitute extremum back into functional (envelope theorem for functional)

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