List questions from operator-theory

Published on 11 Apr 2026 - 21:07

587

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Is $x * d/dx$ closed on $L^2(\mathbb{R})$?

Published on 25 Mar 2026 - 17:52

811

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Bounded differentiation operator

Published on 09 Apr 2026 - 12:00

3.5k

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Unbounded linear operator

Published on 09 Apr 2026 - 11:34

32

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Show that $R_n(x)\to 0$ as $n\to \infty$.

Published on 12 Apr 2026 - 20:32

310

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Convergence of the exponential for a densely-defined linear operator on a Hilbert space

Published on 12 Apr 2026 - 4:44

97

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Equivalence of spectral theorems

Published on 11 Apr 2026 - 1:15

224

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An Error in a Proof that all Banach algebras are symmetric

Published on 09 Apr 2026 - 1:45

84

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On Nehari's and Hardy's notation for Fourier coefficient.

Published on 14 Apr 2026 - 22:28

98

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Matrices Representing Bounded Operators and Absolute Values

Published on 17 Apr 2026 - 1:09

957

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Show that the map $A : l^p \rightarrow l^q $ is a bounded linear map

Published on 25 Mar 2026 - 19:10

123

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If $T$ is a semigroup of bounded linear operators on a Banach space, can we conclude that each $T(t)$ has non-zero operator norm?

Published on 14 Apr 2026 - 18:54

171

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Should continuity be a sufficient condition to proof Bounded linear map equivalent proposition?

Published on 15 Apr 2026 - 15:38

55

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Why is $\frac1h\int_0^t\left(T(s+h)-T(s)\right)x\;{\rm d}s=\frac1h\int_t^{t+h}T(s)x\;{\rm d}s-\frac1h\int_0^hT(s)x\;{\rm d}s$ for a semigroup $T$?

Published on 26 Mar 2026 - 3:13

37

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Variation for operators

Published on 08 Apr 2026 - 6:44

List Question

How does this operator act on a function, and how does this change of co-ordinates work?

Is $x * d/dx$ closed on $L^2(\mathbb{R})$?

Bounded differentiation operator

Unbounded linear operator

Show that $R_n(x)\to 0$ as $n\to \infty$.

Convergence of the exponential for a densely-defined linear operator on a Hilbert space

Equivalence of spectral theorems

An Error in a Proof that all Banach algebras are symmetric

On Nehari's and Hardy's notation for Fourier coefficient.

Matrices Representing Bounded Operators and Absolute Values

Show that the map $A : l^p \rightarrow l^q $ is a bounded linear map

If $T$ is a semigroup of bounded linear operators on a Banach space, can we conclude that each $T(t)$ has non-zero operator norm?

Should continuity be a sufficient condition to proof Bounded linear map equivalent proposition?

Why is $\frac1h\int_0^t\left(T(s+h)-T(s)\right)x\;{\rm d}s=\frac1h\int_t^{t+h}T(s)x\;{\rm d}s-\frac1h\int_0^hT(s)x\;{\rm d}s$ for a semigroup $T$?

Variation for operators

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