List questions from contraction-operator | MathQa

Do powers of contraction on Hilbert space converging to zero imply convergence of its adjoint to zero also?

Published on 13 Jan 2025 - 3:40

Does strict contraction lead to convergence to zero in norm?

Published on 13 Jan 2025 - 3:26

Does proper contraction on Hilbert space necessarily lead to convergence in norm to zero?

Published on 13 Jan 2025 - 3:37

Does a contraction converging in power series necessarily lead to the operator being a proper contraction?

Published on 13 Jan 2025 - 3:40

Use contraction mapping theorem to show that the integral equation has a unique continuous solution on $t \in [0,3]$

Published on 13 Jan 2025 - 3:41

Prove that $K(u) = ||u||Mu+f$ is a contraction

Published on 13 Jan 2025 - 2:40

Self - adjoint contraction operators on Hilbert spaces

Published on 13 Jan 2025 - 5:14

Showing that g is a contraction in the ∞-norm, by using the p-norm

Published on 13 Jan 2025 - 3:30

Is $sin(x)$ a contraction on $[0,1]$?

Published on 12 Jan 2025 - 18:18

How to prove $\mathcal F:\mathbb R^n \to \mathbb R^n$ is a contraction?

Published on 13 Jan 2025 - 3:28