Currently displaying 1 – 7 of 7

Showing per page

Order by Relevance | Title | Year of publication

Operators on spaces of analytic functions

K. Seddighi — 1994

Studia Mathematica

Let M z be the operator of multiplication by z on a Banach space of functions analytic on a plane domain G. We say that M z is polynomially bounded if ∥ M p ∥ ≤ C ∥ p ∥ G for every polynomial p. We give necessary and sufficient conditions for M z to be polynomially bounded. We also characterize the finite-codimensional invariant subspaces and derive some spectral properties of the multiplication operator in case the underlying space is Hilbert.

Commutants of certain multiplication operators on Hilbert spaces of analytic functions

K. Seddighi;  S. Vaezpour — 1999

Studia Mathematica

This paper characterizes the commutant of certain multiplication operators on Hilbert spaces of analytic functions. Let A = M z be the operator of multiplication by z on the underlying Hilbert space. We give sufficient conditions for an operator essentially commuting with A and commuting with A n for some n>1 to be the operator of multiplication by an analytic symbol. This extends a result of Shields and Wallen.

Page 1

Download Results (CSV)