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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1993 • Question 18

Question

Math 6410 • ODE Fall 1993 • Question 18

Let \(\lambda \in \mathbb {C}\) with \(\operatorname {Im}\lambda \ne 0\). Show that \(\lambda -A\) is invertible.

Raw LaTeX

Let \(\lambda\in\C\) with \(\operatorname{Im}\lambda\ne0\). Show that
\(\lambda-A\) is invertible.

Topic Tags

Spectral Theory of Operators