List questions from operator-theory

Published on 25 Mar 2026 - 6:06

83

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If $\|x_n-x\|_1\to 0$, why $\|Tx_n\|_2\to\|Tx\|_2$?

Published on 12 Aug 2018 - 8:58

83

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spectral theorem : the case of bounded operator

Published on 26 Mar 2026 - 1:26

704

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Why are nonzero eigenvalues of a compact operator poles of its resolvent?

Published on 24 Mar 2026 - 22:01

101

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Union of $C^*$-algebras generated by one element also generated by one element?

Published on 25 Mar 2026 - 22:11

226

Views

Spectral theorem and strong convergence

Published on 27 Mar 2026 - 7:46

719

Views

Is there a math operator to see if all vector element values are positive?

Published on 13 Aug 2018 - 3:18

93

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Fourier transformation and eigenvalues

Published on 27 Mar 2026 - 5:15

45

Views

the induced trivial $*$ homomorphism

Published on 25 Mar 2026 - 20:35

87

Views

A bounded linear operator

Published on 13 Aug 2018 - 20:06

84

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Is $T^{\prime\prime}$ injective for injective $T\in\mathfrak{L}(E,F)$?

Published on 26 Mar 2026 - 4:32

66

Views

Is $E^{\prime\prime}$ weak*-separable for separable Banach spaces?

Published on 25 Mar 2026 - 9:31

120

Views

The equality $r(A)=\omega(A)=\|A\|$ is not true in general.

Published on 26 Mar 2026 - 23:09

917

Views

What is the difference between a surjective unitary operator and a bijective unitary transformations

Published on 17 Aug 2018 - 15:37

407

Views

Dirac delta function like a "function" of an operator

Published on 26 Mar 2026 - 19:15

List Question

What does it mean to say that the Laplacian commutes with translations?

If $\|x_n-x\|_1\to 0$, why $\|Tx_n\|_2\to\|Tx\|_2$?

spectral theorem : the case of bounded operator

Why are nonzero eigenvalues of a compact operator poles of its resolvent?

Union of $C^*$-algebras generated by one element also generated by one element?

Spectral theorem and strong convergence

Is there a math operator to see if all vector element values are positive?

Fourier transformation and eigenvalues

the induced trivial $*$ homomorphism

A bounded linear operator

Is $T^{\prime\prime}$ injective for injective $T\in\mathfrak{L}(E,F)$?

Is $E^{\prime\prime}$ weak*-separable for separable Banach spaces?

The equality $r(A)=\omega(A)=\|A\|$ is not true in general.

What is the difference between a surjective unitary operator and a bijective unitary transformations

Dirac delta function like a "function" of an operator

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