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Results tagged with sp.spectral-theory
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user 60913
Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices
2
votes
1
answer
155
views
Do we require $A$ and $B$ to be semi-simple?
I previously asked the following question of MathOverflow: Showing that $\phi$ is a Jordan morphism
in which I was asking assistance with proving the following statement made in the introduction Spect …
- 289
3
votes
1
answer
170
views
How does $E$ closed follow from the upper semicontinuity of the spectrum?
Let $f$ be an analytic function for a domain $D$ of $\mathbb{C}$ into a Banach algebra $A$. Suppose that, for all $\lambda \in D$, $\text{Sp}f(\lambda)$ is finite or a sequence converging to $0$.
Supp …
- 289
5
votes
1
answer
1k
views
Reference request: The resolvent is analytic in the resolvent set
I am busy reading through Taylor's paper Spectral Theory of Closed Distributive Operators.
On page 192, he defines the resolvent and spectrum of $T$:
Later on in the paragraph, he then proceeds by …
- 289