Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

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

100%

Yousefi B.

Studia Mathematica

2001

tom 147

nr 3

201-209

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].

On the multiplication operators on spaces of analytic functions

63%

Yousefi B., Foroutan S.

Studia Mathematica

2005

tom 168

nr 2

187-191

We consider Hilbert spaces of analytic functions on a plane domain Ω and multiplication operators on such spaces induced by functions from $H^{∞}(Ω)$. Recently, K. Zhu has given conditions under which the adjoints of multiplication operators on Hilbert spaces of analytic functions belong to the Cowen-Douglas classes. In this paper, we provide some sufficient conditions which give the converse of the main result obtained by K. Zhu. We also characterize the commutant of certain multiplication operators.

Ograniczanie wyników

2 Studia Mathematica

2 Yousefi B.

1 Foroutan S.

1 2005

1 2001

Wyniki wyszukiwania

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

On the multiplication operators on spaces of analytic functions