Operators with connected spectrum + compact operators = strongly irreducible operators
Copyright policy )Operators with connected spectrum + compact operators = strongly irreducible operators
Let \(L(H)\) be the algebra of all bounded linear operators acting on a complex, separable, infinite-dimensional Hilbert space \(H\). An operator \(T\in L(H)\) is said to be strongly irreducible if it does not commute with any nontrivial idempotents. It is proved that each operator \(T\in L(H)\) with connected spectrum can be represented as the sum of a strongly irreducible operator and a compact operator.
- Hebei University of Technology China (People's Republic of)
- Jilin University China (People's Republic of)
Structure theory of linear operators, sum of a strongly irreducible operator and a compact operator, strongly irreducible, Linear operators defined by compactness properties, structure properties, operators in Hilbert spase
Structure theory of linear operators, sum of a strongly irreducible operator and a compact operator, strongly irreducible, Linear operators defined by compactness properties, structure properties, operators in Hilbert spase
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!