Unicellularity of the multiplication operator on Banach spaces of formal power series

• Autorzy: B. Yousefi
• Języki publikacji: EN

Abstrakty

EN

Let ${β(n)}^{∞}_{n=0}$ be a sequence of positive numbers and 1 ≤ p < ∞. We consider the space $ℓ^{p}(β)$ of all power series $f(z) = ∑^{∞}_{n=0} f̂(n)zⁿ$ such that $∑_{n=0}^{∞} |f̂(n)|^{p}|β(n)|^{p} < ∞$. We give some sufficient conditions for the multiplication operator, $M_{z}$, to be unicellular on the Banach space $ℓ^{p}(β)$. This generalizes the main results obtained by Lu Fang [1].

Kategorie tematyczne

• 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
• 47A25: Spectral sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 147
• Numer: 3
• Strony: 201-209

Daty

wydano

2001

Twórcy

autor

B. Yousefi

• College of Sciences, Shiraz University, Shiraz 71454, Iran

Identyfikatory

DOI

10.4064/sm147-3-1