Question

Unitary dilation of a rectangular contraction

score 230 · Answer 1 · 2026-04-14 11:05:09

230

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Unitary dilation of a rectangular contraction

Published on 14 Apr 2026 - 11:05

score 936 · Answer 2 · 2026-04-11 02:39:13

936

Views

A linear map that is contraction in one norm, but not in Euclidean

Published on 11 Apr 2026 - 2:39

score 109 · Answer 3 · 2026-04-19 14:59:27

109

Views

Showing a particular $T$ a contraction on continuous functions on unit square

Published on 19 Apr 2026 - 14:59

score 41 · Answer 4 · 2026-05-10 12:53:46

41

Views

How to look for a solution of type $xg (x) $ in a second order DE?

Published on 10 May 2026 - 12:53

score 365 · Answer 5 · 2026-04-12 03:52:39

365

Views

The image of every strictly non-expanding map between spheres is contained in an open hemisphere?

Published on 12 Apr 2026 - 3:52

score 366 · Answer 6 · 2026-04-11 09:15:50

366

Views

Does a operator norm exist to bound each element in sequence of bounded linear operators.

Published on 11 Apr 2026 - 9:15

score 204 · Answer 7 · 2026-04-09 03:53:01

204

Views

Composition of contractions converge to the null operator.

Published on 09 Apr 2026 - 3:53

score 101 · Answer 8 · 2026-04-14 02:56:48

101

Views

How is $\Delta: T(M)\times T^*(M) \rightarrow C^{\infty}(M)$ a section

Published on 14 Apr 2026 - 2:56

score 27 · Answer 9 · 2026-04-12 13:19:16

27

Views

What's an easy example of a family of three commuting contractions for which there's no isometric dilation but fulfill the von Neumann inequality?

Published on 12 Apr 2026 - 13:19

score 48 · Answer 10 · 2026-04-13 05:56:38

48

Views

If $A \in \mathcal{B}(H), B \in \mathcal{B}(K)$ are contractions, is it then true, that $\begin{bmatrix}A&0\\0& B \end{bmatrix}$ is a contraction too?

Published on 13 Apr 2026 - 5:56

score 140 · Answer 11 · 2026-04-22 16:32:37

140

Views

proof that the operator of integral equation is a contraction

Published on 22 Apr 2026 - 16:32

score 45 · Answer 12 · 2026-03-25 17:42:20

45

Views

Positivity of semigroup $(P_t)_{t\geq0}$ implies its contractivity, $\| P_tf\| \leq \|f\|$

Published on 25 Mar 2026 - 17:42

score 126 · Answer 13 · 2026-05-10 09:49:58

126

Views

$\sin(x)$ is a contraction

Published on 10 May 2026 - 9:49

score 38 · Answer 14 · 2026-03-31 02:40:35

38

Views

Is $C_0^{\infty}(\mathbb{R}^d)$ a core for diffusion operators on $C_0$?

Published on 31 Mar 2026 - 2:40

score 52 · Answer 15 · 2026-04-14 22:06:51

52

Views

Let $T$ be a contraction in a Hilbert space $H$. If $\| T^n x\| \to 0$ for $n \to \infty$, does $\| (c \cdot T)^n x \| \to 0$, where $c > 1$?

Published on 14 Apr 2026 - 22:06

List Question

Unitary dilation of a rectangular contraction

A linear map that is contraction in one norm, but not in Euclidean

Showing a particular $T$ a contraction on continuous functions on unit square

How to look for a solution of type $xg (x) $ in a second order DE?

The image of every strictly non-expanding map between spheres is contained in an open hemisphere?

Does a operator norm exist to bound each element in sequence of bounded linear operators.

Composition of contractions converge to the null operator.

How is $\Delta: T(M)\times T^*(M) \rightarrow C^{\infty}(M)$ a section

What's an easy example of a family of three commuting contractions for which there's no isometric dilation but fulfill the von Neumann inequality?

If $A \in \mathcal{B}(H), B \in \mathcal{B}(K)$ are contractions, is it then true, that $\begin{bmatrix}A&0\\0& B \end{bmatrix}$ is a contraction too?

proof that the operator of integral equation is a contraction

Positivity of semigroup $(P_t)_{t\geq0}$ implies its contractivity, $\| P_tf\| \leq \|f\|$

$\sin(x)$ is a contraction

Is $C_0^{\infty}(\mathbb{R}^d)$ a core for diffusion operators on $C_0$?

Let $T$ be a contraction in a Hilbert space $H$. If $\| T^n x\| \to 0$ for $n \to \infty$, does $\| (c \cdot T)^n x \| \to 0$, where $c > 1$?

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