Category:Resolvent Sets (Bounded Linear Operators)
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This category contains results about resolvent sets in the context of Bounded Linear Operators.
Definitions specific to this category can be found in Definitions/Resolvent Sets (Bounded Linear Operators).
Let $\struct {X, \norm \cdot}$ be a Banach space over $\C$.
Let $A : X \to X$ be a bounded linear operator.
Let $I : X \to X$ be the identity mapping on $X$.
Let $\map \rho A$ be the set of $\lambda \in \C$ such that $A - \lambda I$ is invertible in the sense of a bounded linear transformation
We call $\map \rho A$ the resolvent set of $A$.
Pages in category "Resolvent Sets (Bounded Linear Operators)"
The following 2 pages are in this category, out of 2 total.