In this proof, Question 1. why the condition $\left\|(\lambda-A)x\right\|\geq \lambda \left\|x\right\|$ implies the injectivity of the operator $\lambda-A$?
Question 2. Why if $\rho(A)\cap (0,\infty)\neq\emptyset$ implies $A$ is closed?
2026-04-21 11:43:05.1776771785
Consultation on the Lumer-Phillips Theorem
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