List questions from unbounded-operators

Published on 26 Feb 2020 - 5:00

49

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Are all bounded linear operators including the ones that are Banach, also isometries?

Published on 29 Feb 2020 - 14:11

119

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Is this counterexample for $T$ closed, symmetric $\iff T$ self-adjoint valid?

Published on 06 Mar 2020 - 17:59

72

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Reference request for unbounded linear operators

Published on 08 Mar 2020 - 6:32

174

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Show that A is a bounded operator in ℓ2 and ∥A∥2≤∑∞j=1∑∞i=1|aij|2

Published on 20 Mar 2020 - 19:14

225

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Is $Tf(x)=\frac{1}{x}\int_{0}^{x}f(y)dy$ bounded as operator on $L^2((0,1);\mathbb{R} )$?

Published on 05 Apr 2020 - 0:31

112

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Couterexample to Littlewood-Paley theorem

Published on 20 Mar 2026 - 7:32

85

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The unbounded antipode for Woronowicz's quantum group $\operatorname{SU}_q(2)$

Published on 30 Apr 2020 - 11:17

200

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On the resolvent set of an unbounded operator

Published on 30 May 2020 - 17:30

78

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Example of discontinuity of position operator $X\colon f(x) \mapsto xf(x)$ for $f(x) \in L^2(\mathbb{R})$

Published on 08 Jun 2020 - 16:46

73

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Why the statement of one of the spectral theorems involves an integral rather than a sum?

Published on 16 Jun 2020 - 10:03

102

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Limit with unbounded operator and spectral measure

Published on 29 Jun 2020 - 19:25

83

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$A > B$ implies $1 > A^{-1} B$ for operators on Hilbert Spaces

Published on 09 Jul 2020 - 21:31

1.6k

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Confused about Domain of Unbounded Operators (Hilbert Spaces)

Published on 06 Jul 2016 - 11:58

125

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Show the set of solutions to the equation $a_1x_1^m + a_2x_2^m + \dotsb + a_nx_n^m = b$ is compact.

Published on 25 Mar 2026 - 9:28

List Question

Proving Boundness of Two Linear Operators

Are all bounded linear operators including the ones that are Banach, also isometries?

Is this counterexample for $T$ closed, symmetric $\iff T$ self-adjoint valid?

Reference request for unbounded linear operators

Show that A is a bounded operator in ℓ2 and ∥A∥2≤∑∞j=1∑∞i=1|aij|2

Is $Tf(x)=\frac{1}{x}\int_{0}^{x}f(y)dy$ bounded as operator on $L^2((0,1);\mathbb{R} )$?

Couterexample to Littlewood-Paley theorem

The unbounded antipode for Woronowicz's quantum group $\operatorname{SU}_q(2)$

On the resolvent set of an unbounded operator

Example of discontinuity of position operator $X\colon f(x) \mapsto xf(x)$ for $f(x) \in L^2(\mathbb{R})$

Why the statement of one of the spectral theorems involves an integral rather than a sum?

Limit with unbounded operator and spectral measure

$A > B$ implies $1 > A^{-1} B$ for operators on Hilbert Spaces

Confused about Domain of Unbounded Operators (Hilbert Spaces)

Show the set of solutions to the equation $a_1x_1^m + a_2x_2^m + \dotsb + a_nx_n^m = b$ is compact.

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