Question

Unitary dilation of a rectangular contraction

score 227 · Answer 1 · 2016-12-12 09:11:06

227

Views

Unitary dilation of a rectangular contraction

Published on 12 Dec 2016 - 9:11

score 934 · Answer 2 · 2016-12-12 19:40:48

934

Views

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

Published on 12 Dec 2016 - 19:40

score 106 · Answer 3 · 2017-01-05 01:06:01

106

Views

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

Published on 05 Jan 2017 - 1:06

score 37 · Answer 4 · 2017-01-15 11:22:55

37

Views

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

Published on 15 Jan 2017 - 11:22

score 362 · Answer 5 · 2017-03-03 15:08:41

362

Views

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

Published on 03 Mar 2017 - 15:08

score 363 · Answer 6 · 2017-03-20 19:29:52

363

Views

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

Published on 20 Mar 2017 - 19:29

score 201 · Answer 7 · 2017-03-21 14:17:36

201

Views

Composition of contractions converge to the null operator.

Published on 21 Mar 2017 - 14:17

score 99 · Answer 8 · 2017-04-07 11:49:25

99

Views

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

Published on 07 Apr 2017 - 11:49

score 24 · Answer 9 · 2023-03-05 14:43:34

24

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 05 Mar 2023 - 14:43

score 45 · Answer 10 · 2023-03-10 19:29:12

45

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 10 Mar 2023 - 19:29

score 139 · Answer 11 · 2026-02-27 16:40:02

139

Views

proof that the operator of integral equation is a contraction

Published on 27 Feb 2026 - 16:40

score 44 · Answer 12 · 2023-06-18 18:53:29

44

Views

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

Published on 18 Jun 2023 - 18:53

score 122 · Answer 13 · 2023-11-26 12:50:04

122

Views

$\sin(x)$ is a contraction

Published on 26 Nov 2023 - 12:50

score 36 · Answer 14 · 2024-02-03 08:36:09

36

Views

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

Published on 03 Feb 2024 - 8:36

score 49 · Answer 15 · 2024-03-19 23:18:04

49

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 19 Mar 2024 - 23:18

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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