Microspectral analysis of quasinilpotent operators

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut281-306
JulkaisuBANACH CENTER PUBLICATIONS
Vuosikerta112
TilaJulkaistu - 2017
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

Tutkijat

Organisaatiot

  • Polish Academy of Sciences

Kuvaus

We develop a microspectral theory for quasinilpotent linear operators Q (i.e., those with σ(Q)={0}) in a Banach space. For such operators, the classical spectral theory gives little information. Deeper structure can be obtained from microspectral sets in C as defined below. Such sets describe, e.g., semigroup generation, various resolvent properties, power boundedness as well as Tauberian properties associated to zQ for z∈C.

ID: 16528289