Question

Derivative of $Tr(A^x)$, where $A$ is a bounded, linear, positive operator

score 36 · Answer 1 · 2026-02-23 10:18:41

36

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Derivative of $Tr(A^x)$, where $A$ is a bounded, linear, positive operator

Published on 23 Feb 2026 - 10:18

score 50 · Answer 2 · 2026-03-25 17:33:50

50

Views

If $P,Q$ orthogonal projections on $H$ and $T\colon H\to H$ extension of Hilbert isomorphism $S\colon P(H)\to Q(H)$, then $Q=TT^{*}$.

Published on 25 Mar 2026 - 17:33

score 190 · Answer 3 · 2020-04-22 16:23:57

190

Views

Bounded projector in Hilbert space

Published on 22 Apr 2020 - 16:23

score 180 · Answer 4 · 2026-03-29 20:27:34

180

Views

Surjectivity of operator $(\lambda I-A)x$, where A is a linear operator on a Hilbert space $X$, for non-real $\lambda$

Published on 29 Mar 2026 - 20:27

score 36 · Answer 5 · 2026-03-29 22:36:27

36

Views

How to find maximal value for function x ∈ L2 ([0, T ])?

Published on 29 Mar 2026 - 22:36

score 76 · Answer 6 · 2026-03-25 12:54:16

76

Views

Cartan-Dieudonne Theorem in Hilbert space?

Published on 25 Mar 2026 - 12:54

score 144 · Answer 7 · 2026-03-27 03:41:05

144

Views

If $\dim H=\infty$, does there always exist a positive compact operator $T$ with infinite rank and $\|T\|\leq1$?

Published on 27 Mar 2026 - 3:41

score 75 · Answer 8 · 2020-04-24 13:08:36

75

Views

Showing a subspace is not closed

Published on 24 Apr 2020 - 13:08

score 604 · Answer 9 · 2026-03-27 10:09:55

604

Views

On the existence of the adjoint of a densely defined unbounded operator

Published on 27 Mar 2026 - 10:09

score 31 · Answer 10 · 2026-03-26 04:53:26

31

Views

If $U$ is a linear isometry on $H$, then $\frac1n\left\|(1-U^n)x\right\|_H\xrightarrow{n\to\infty}0$

Published on 26 Mar 2026 - 4:53

score 123 · Answer 11 · 2020-04-26 03:24:33

123

Views

Under what conditions can an operator be moved under the integral

Published on 26 Apr 2020 - 3:24

score 220 · Answer 12 · 2026-03-25 17:29:49

220

Views

inequality for positive contraction operator

Published on 25 Mar 2026 - 17:29

score 247 · Answer 13 · 2020-04-26 09:06:22

247

Views

The range of the Multiplication operator $R(T_f)=L^2(\mu)$ iff $\exists \epsilon > 0$ st. $|f|>\epsilon $ a.e.

Published on 26 Apr 2020 - 9:06

score 130 · Answer 14 · 2026-03-29 20:20:52

130

Views

Find double orthogonal complement of non-empty subset of Hilbert space

Published on 29 Mar 2026 - 20:20

score 331 · Answer 15 · 2026-03-27 07:49:17

331

Views

What is adjoint of extended right shift operator on a Hilbert space?

Published on 27 Mar 2026 - 7:49

List Question

Derivative of $Tr(A^x)$, where $A$ is a bounded, linear, positive operator

If $P,Q$ orthogonal projections on $H$ and $T\colon H\to H$ extension of Hilbert isomorphism $S\colon P(H)\to Q(H)$, then $Q=TT^{*}$.

Bounded projector in Hilbert space

Surjectivity of operator $(\lambda I-A)x$, where A is a linear operator on a Hilbert space $X$, for non-real $\lambda$

How to find maximal value for function x ∈ L2 ([0, T ])?

Cartan-Dieudonne Theorem in Hilbert space?

If $\dim H=\infty$, does there always exist a positive compact operator $T$ with infinite rank and $\|T\|\leq1$?

Showing a subspace is not closed

On the existence of the adjoint of a densely defined unbounded operator

If $U$ is a linear isometry on $H$, then $\frac1n\left\|(1-U^n)x\right\|_H\xrightarrow{n\to\infty}0$

Under what conditions can an operator be moved under the integral

inequality for positive contraction operator

The range of the Multiplication operator $R(T_f)=L^2(\mu)$ iff $\exists \epsilon > 0$ st. $|f|>\epsilon $ a.e.

Find double orthogonal complement of non-empty subset of Hilbert space

What is adjoint of extended right shift operator on a Hilbert space?

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