Question

Spectrum of the product of positive elements of a $C^\ast$-algebra.

score 894 · Answer 1 · 2026-03-29 12:11:21

894

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Spectrum of the product of positive elements of a $C^\ast$-algebra.

Published on 29 Mar 2026 - 12:11

score 212 · Answer 2 · 2026-04-06 16:14:58

212

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Integral of a Function Times Its Riesz Transform Is $0$

Published on 06 Apr 2026 - 16:14

score 81 · Answer 3 · 2026-04-06 17:21:00

81

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$\left\| \begin{pmatrix} 0 &A\\ A^* &0 \end{pmatrix}\right\|=\|A\|.$

Published on 06 Apr 2026 - 17:21

score 92 · Answer 4 · 2026-04-06 17:22:20

92

Views

Why $\left\| \begin{pmatrix} 0 &A\\ B &0 \end{pmatrix}\right\|\geq\max\{\|A\|,\|B\|\}$?

Published on 06 Apr 2026 - 17:22

score 198 · Answer 5 · 2026-03-29 12:04:49

198

Views

Linear Isometry on Positive Elements of a $C^{\ast}$-Algebra

Published on 29 Mar 2026 - 12:04

score 61 · Answer 6 · 2020-01-24 17:52:52

61

Views

Need help to prove $\frac{dg}{dx}$ is unbounded and $\frac{d^2g}{dx^2}$ is bounded for $g\in L^2[-1,1]$

Published on 24 Jan 2020 - 17:52

score 283 · Answer 7 · 2026-04-12 11:10:35

283

Views

Showing that an integral operator on $L^2(0,1)$ is bounded

Published on 12 Apr 2026 - 11:10

score 31 · Answer 8 · 2020-01-26 02:31:03

31

Views

Prove that the operator $T:X\to Y$ satisfies $\|T^n\|\leqslant \|T\|^n$.

Published on 26 Jan 2020 - 2:31

score 68 · Answer 9 · 2020-01-26 13:36:31

68

Views

Operators on Bochner-Lebesgue spaces commuting with the multiplication by z.

Published on 26 Jan 2020 - 13:36

score 1k · Answer 10 · 2020-01-26 21:53:15

1k

Views

show that $T$ is injective and has closed range $\iff \exists c > 0, \, \forall x \in E, \, \, \|T(x)\| \geq c \|x\|$

Published on 26 Jan 2020 - 21:53

score 1.2k · Answer 11 · 2020-01-27 05:26:25

1.2k

Views

Let $C[0,1]$ be the Real vector space of all the continuous Real valued function

Published on 27 Jan 2020 - 5:26

score 194 · Answer 12 · 2026-04-07 10:28:30

194

Views

Positiveness of Inverse Of Positive Operator Implies Lattice Isomorphism?

Published on 07 Apr 2026 - 10:28

score 43 · Answer 13 · 2026-04-11 04:03:15

43

Views

Extension of bounded linear operator: a conceptual question

Published on 11 Apr 2026 - 4:03

score 289 · Answer 14 · 2020-01-29 14:44:40

289

Views

To show that $T^{-1}=T^{*}$

Published on 29 Jan 2020 - 14:44

score 54 · Answer 15 · 2026-04-06 17:22:30

54

Views

${{\inf }_{\left\| x \right\|=1}}{{\left\|Ax \right\|}^{2}}={{\inf }_{\left\| x \right\|=1}}{{\left\| {{A}^*}x \right\|}^{2}}$?

Published on 06 Apr 2026 - 17:22

List Question

Spectrum of the product of positive elements of a $C^\ast$-algebra.

Integral of a Function Times Its Riesz Transform Is $0$

$\left\| \begin{pmatrix} 0 &A\\ A^* &0 \end{pmatrix}\right\|=\|A\|.$

Why $\left\| \begin{pmatrix} 0 &A\\ B &0 \end{pmatrix}\right\|\geq\max\{\|A\|,\|B\|\}$?

Linear Isometry on Positive Elements of a $C^{\ast}$-Algebra

Need help to prove $\frac{dg}{dx}$ is unbounded and $\frac{d^2g}{dx^2}$ is bounded for $g\in L^2[-1,1]$

Showing that an integral operator on $L^2(0,1)$ is bounded

Prove that the operator $T:X\to Y$ satisfies $\|T^n\|\leqslant \|T\|^n$.

Operators on Bochner-Lebesgue spaces commuting with the multiplication by z.

show that $T$ is injective and has closed range $\iff \exists c > 0, \, \forall x \in E, \, \, \|T(x)\| \geq c \|x\|$

Let $C[0,1]$ be the Real vector space of all the continuous Real valued function

Positiveness of Inverse Of Positive Operator Implies Lattice Isomorphism?

Extension of bounded linear operator: a conceptual question

To show that $T^{-1}=T^{*}$

${{\inf }_{\left\| x \right\|=1}}{{\left\|Ax \right\|}^{2}}={{\inf }_{\left\| x \right\|=1}}{{\left\| {{A}^*}x \right\|}^{2}}$?

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