User MaoWao

10 votes

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If an operator have only Real eigenvalues + symmetric then it's self-adjoint?

answered Jan 19, 2016 at 10:37

9 votes

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Are the bounded Lipschitz functions dense in $L^1(\mu)$?

answered Mar 13, 2019 at 14:55

8 votes

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Continuous functions vanishing at infinity on a non-locally-compact space

answered Jan 10, 2019 at 13:38

8 votes

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Does Schmidt decomposition exist on infinite dimensional Hilbert spaces?

answered Oct 28, 2019 at 7:17

6 votes

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Can we say that $T^n$ is a positive operator?

answered Mar 6, 2021 at 8:35

6 votes

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Does every $L^1_{\text{loc}}$-function have a signed measure as a distributional derivative?

answered Aug 15, 2021 at 17:18

6 votes

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If $T_n\to T$ in the weak operator topology, does $p(T_n)\to p(T)$ in the weak operator topology for any polynomial $p$?

answered Jul 20, 2021 at 6:16

6 votes

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Proof of Cauchy-Schwarz inequality for conditional expectations

answered Jul 20, 2021 at 18:30

6 votes

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If $\varphi: A \to B$ is surjective, then is $\varphi^{}: A^{}\to B^{**}$ surjective?

answered Jan 20, 2022 at 23:16

6 votes

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Why Dirichlet form are interesting?

answered Jan 16, 2019 at 15:08

6 votes

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Showing the sum of a C* subalgebra and ideal is itself a C* subalgebra

answered Apr 18, 2016 at 8:39

6 votes

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Gelfand-Naimark for $C^*$-categories

answered Sep 28, 2015 at 14:41

6 votes

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Tensor products of $L^2$ spaces

answered Oct 4, 2015 at 18:14

6 votes

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Weak convergence of positive operators in Hibert space

answered May 24, 2022 at 12:57

5 votes

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Trace inequality on positive matrices

answered Jan 11, 2016 at 15:37

5 votes

How to know if two graphs are ismorphic or not?

answered Jan 15, 2016 at 15:02

5 votes

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An identity for Fourier transform of measure

answered Mar 20, 2019 at 15:18

4 votes

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Hilbert algebra definition clarification

answered Jan 20, 2022 at 11:42

4 votes

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Equivalent norms in $H^2(\Omega)\cap H^1_0(\Omega)$

answered Sep 19, 2021 at 19:48

4 votes

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free group factor- do the basis of generators strongly converge to each other?

answered Nov 19, 2021 at 11:41

4 votes

Is $f \mapsto (x\mapsto \int_0^x f\,\mathrm d\lambda)$ weak-strong continuous from $L^1([0,1])$ to $C([0,1])$?

answered Jan 3, 2022 at 10:57

4 votes

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Sobolev space of maps with higher dimensional target?

answered Jul 16, 2021 at 14:57

4 votes

Simplest (completely) positive maps

answered Mar 23, 2021 at 10:23

4 votes

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Relationship between $\text{Pois}(\mu)$ and $\text{Pois}(\ell)$. Choose $\mu=\ell\delta_1$?

answered May 10, 2021 at 16:34

4 votes

Perfect Pairing, non-degeneracy and dimension.

answered Apr 19, 2016 at 13:20

4 votes

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$L^p-L^q$ estimates for heat equation - regularizing effect

answered Nov 26, 2018 at 23:43

4 votes

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concept of the classification of $C^\ast$-algebras, introduction/overview

answered Aug 11, 2015 at 13:09

4 votes

$H$ Hilbert space, $T$ symmetric bounded linear, when is $H=R(T) \oplus N(T)$?

answered Jan 8, 2019 at 14:35

4 votes

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$f: A \to B$ continuous and $g \circ f : A \to C$ continuous implies $g : B \to C$ continuous?

answered Nov 21, 2018 at 12:36

4 votes

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How to show that the mild solution to this parabolic equation is also a classical solution?

answered Jan 28, 2019 at 14:52

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484 Answers

If an operator have only Real eigenvalues + symmetric then it's self-adjoint?

Are the bounded Lipschitz functions dense in $L^1(\mu)$?

Continuous functions vanishing at infinity on a non-locally-compact space

Does Schmidt decomposition exist on infinite dimensional Hilbert spaces?

Can we say that $T^n$ is a positive operator?

Does every $L^1_{\text{loc}}$-function have a signed measure as a distributional derivative?

If $T_n\to T$ in the weak operator topology, does $p(T_n)\to p(T)$ in the weak operator topology for any polynomial $p$?

Proof of Cauchy-Schwarz inequality for conditional expectations

If $\varphi: A \to B$ is surjective, then is $\varphi^{}: A^{}\to B^{**}$ surjective?

Why Dirichlet form are interesting?

Showing the sum of a C* subalgebra and ideal is itself a C* subalgebra

Gelfand-Naimark for $C^*$-categories

Tensor products of $L^2$ spaces

Weak convergence of positive operators in Hibert space

Trace inequality on positive matrices

How to know if two graphs are ismorphic or not?

An identity for Fourier transform of measure

Hilbert algebra definition clarification

Equivalent norms in $H^2(\Omega)\cap H^1_0(\Omega)$

free group factor- do the basis of generators strongly converge to each other?

Is $f \mapsto (x\mapsto \int_0^x f\,\mathrm d\lambda)$ weak-strong continuous from $L^1([0,1])$ to $C([0,1])$?

Sobolev space of maps with higher dimensional target?

Simplest (completely) positive maps

Relationship between $\text{Pois}(\mu)$ and $\text{Pois}(\ell)$. Choose $\mu=\ell\delta_1$?

Perfect Pairing, non-degeneracy and dimension.

$L^p-L^q$ estimates for heat equation - regularizing effect

concept of the classification of $C^\ast$-algebras, introduction/overview

$H$ Hilbert space, $T$ symmetric bounded linear, when is $H=R(T) \oplus N(T)$?

$f: A \to B$ continuous and $g \circ f : A \to C$ continuous implies $g : B \to C$ continuous?

How to show that the mild solution to this parabolic equation is also a classical solution?