List questions from functional-calculus

Published on 09 Apr 2026 - 3:15

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Proof that a minimum problem has no solution

Published on 09 Apr 2026 - 15:17

47

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$A\in BIP(X)$ and $A_{\epsilon}=A^{\epsilon}(\epsilon +A)^{-2\epsilon}$ how to proof that $A_{\epsilon}x\to x$ when $\epsilon\to 0$for all $x\in X$

Published on 23 Feb 2026 - 10:22

37

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Derivative of $Tr(A^x)$, where $A$ is a bounded, linear, positive operator

Published on 09 Apr 2026 - 0:09

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Why can't some functions be integrated?

Published on 23 Feb 2026 - 10:15

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For every projection $p$ and normal $a$ in a C-algebra $A$ (with $ap=pa$), there is a $$-isomorphism $C(\sigma(a))\to C^{*}(a,p)$ such that ...

Published on 23 Feb 2026 - 10:21

109

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Functional Derivative with Difficult Chain Rule

Published on 09 Apr 2026 - 13:42

101

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A problem with Lebesgue integral in functional analysis

Published on 08 Apr 2026 - 20:33

290

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Image of Borel functional calculus of a bounded normal operator

Published on 23 Feb 2026 - 10:18

186

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Is an invariant or reducing subspace necessarily the image of a spectral projection?

Published on 23 Feb 2026 - 10:19

141

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Relation between resolutions of the identity for normal operator and its restriction to a reducing closed subspace

Published on 23 Feb 2026 - 10:18

129

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Functional Derivative of the Matrix Exponential

Published on 23 Feb 2026 - 10:22

60

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difference of operators defined through 2 different functional calculi.

Published on 23 Feb 2026 - 10:15

191

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What exactly is the spectral projection of a (possibly unbounded) self-adjoint operator on a Hilbert space?

Published on 23 Feb 2026 - 10:20

245

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A case where the Euler-Lagrange equations produces $1=0$

Published on 23 Feb 2026 - 10:23

List Question

General question about functional calculus

Proof that a minimum problem has no solution

$A\in BIP(X)$ and $A_{\epsilon}=A^{\epsilon}(\epsilon +A)^{-2\epsilon}$ how to proof that $A_{\epsilon}x\to x$ when $\epsilon\to 0$for all $x\in X$

Derivative of $Tr(A^x)$, where $A$ is a bounded, linear, positive operator

Why can't some functions be integrated?

For every projection $p$ and normal $a$ in a C-algebra $A$ (with $ap=pa$), there is a $$-isomorphism $C(\sigma(a))\to C^{*}(a,p)$ such that ...

Functional Derivative with Difficult Chain Rule

A problem with Lebesgue integral in functional analysis

Image of Borel functional calculus of a bounded normal operator

Is an invariant or reducing subspace necessarily the image of a spectral projection?

Relation between resolutions of the identity for normal operator and its restriction to a reducing closed subspace

Functional Derivative of the Matrix Exponential

difference of operators defined through 2 different functional calculi.

What exactly is the spectral projection of a (possibly unbounded) self-adjoint operator on a Hilbert space?

A case where the Euler-Lagrange equations produces $1=0$

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