The single-point spectrum operators satisfying Ritt's resolvent condition

• Autorzy: Yu. Lyubich
• Języki publikacji: EN

Abstrakty

EN

It is shown that an operator with the properties mentioned in the title does exist in the space $L_{p}(0,1)$, 1 ≤ p ≤ ∞. The maximal sector for the extended resolvent condition can be prescribed a priori jointly with the corresponding order of the exponential growth of the resolvent in the complementary sector.

Kategorie tematyczne

• 47A35: Ergodic theory
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 2
• Strony: 135-142

Daty

wydano

2001

Twórcy

autor

Yu. Lyubich

• Department of Mathematics, Technion, 32000 Haifa, Israel

Identyfikatory

DOI

10.4064/sm145-2-3