List questions from functional-calculus

Published on 05 Apr 2020 - 10:26

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Proof that a minimum problem has no solution

Published on 17 Apr 2020 - 10:35

46

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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 18 Apr 2020 - 15:45

35

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

Published on 22 Apr 2020 - 11:37

1.9k

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Why can't some functions be integrated?

Published on 08 May 2020 - 21:58

79

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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 28 May 2020 - 19:41

106

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Functional Derivative with Difficult Chain Rule

Published on 30 May 2020 - 7:34

98

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A problem with Lebesgue integral in functional analysis

Published on 03 Jun 2020 - 18:30

289

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Image of Borel functional calculus of a bounded normal operator

Published on 13 Jun 2020 - 13:13

185

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

Published on 18 Jun 2020 - 4:25

140

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

Published on 19 Jun 2020 - 4:19

128

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Functional Derivative of the Matrix Exponential

Published on 19 Jun 2020 - 13:09

59

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difference of operators defined through 2 different functional calculi.

Published on 22 Jun 2020 - 13:27

190

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

Published on 22 Jun 2020 - 15:41

244

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

Published on 24 Jun 2020 - 12:58

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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