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Results tagged with operator-theory
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user 119514
Spectrum, resolvent, numerical range, functional calculus, operator semigroups. Special classes of operators: compact, Fredholm, dissipative, differential, integral, pseudodifferential, etc.
2
votes
1
answer
134
views
Confusion in definition of peripheral spectrum
I had asked this question on Mathematics Stack Exchange, $2$ days ago but it got no response so I'm asking here.
If $A$ is a closed operator, then the peripheral spectrum of $A$ is defined to be al …
- 343
0
votes
1
answer
193
views
Doubt in proof of $\lim_{n \to \infty} [\lambda R(\lambda, A)]^n = P.$
I have a doubt in proof of Lemma $4.7$ of this paper.
Lemma: Let $A$ be a closed operator on a complex Banach space $E$ and assume that $0$ is an eigenvalue of $A$ and a pole of the resolvent $R(\c …
- 343
3
votes
1
answer
164
views
Reference request: Spectral properties of real operators
Let $A:D(A)\subseteq E \to E$ be a closed operator on a complex Banach lattice $E.$ Then $A$ is said to be real if $x+iy \in D(A) \implies x,y \in D(A)$ for all $x,y \in E_{\mathbb R}$ and $A(D(A) …
- 343
3
votes
1
answer
540
views
Reference request: Irreducible operators
I had asked this question on MSE but did not get any response.
I would like some reference to books that talk about irreducible operators on Banach lattices and its properties. A quick google searc …
- 343