6533b837fe1ef96bd12a206a

RESEARCH PRODUCT

Projections and isolated points of parts of the spectrum

Salvatore TrioloPietro Aiena

subject

PhysicsPure mathematics47A11‎Algebra and Number Theory‎localized SVEP‎‎spectrum‎47A53‎Spectrum (functional analysis)Banach spaceLocalized SVEPKato decompositionBounded operator47A10SpectrumCore (graph theory)Decomposition (computer science)‎47A55Analysis

description

‎‎In this paper‎, ‎we relate the existence of certain projections‎, ‎commuting with a bounded linear operator $T\in L(X)$ acting on Banach space $X$‎, ‎with the generalized Kato decomposition of $T$‎. ‎We also relate the existence of these projections with some properties of the quasi-nilpotent part $H_0(T)$ and the analytic core $K(T)$‎. ‎Further results are given for the isolated points of some parts of the spectrum‎.

yearjournalcountryeditionlanguage
2018-09-01
10.15352/aot.1804-1348https://projecteuclid.org/euclid.aot/1532656921