Projective Spectrum in Banach Algebras

Rongwei Yang
Additional contact information
Rongwei Yang: University at Albany, the State University of New York, Department of Mathematics & Statistics

Chapter Chapter 4 in A Spectral Theory Of Noncommuting Operators, 2024, pp 65-91 from Springer

Abstract: Abstract Consider a Banach algebra ℬ $${\mathcal B}$$ with unit I. The classical spectrum of an element A ∈ ℬ $$A\in {\mathcal B}$$ is the set σ ( A ) = { λ ∈ ℂ ∣ A − λ I is not invertible in ℬ } $$\sigma (A)=\{\lambda \in {\mathbb C} \mid \ A-\lambda I\ \text{is not invertible in }{\mathcal B}\}$$ , and it is one of the main subjects in operator theory.

Date: 2024
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-51605-4_4

Ordering information: This item can be ordered from
http://www.springer.com/9783031516054

DOI: 10.1007/978-3-031-51605-4_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().