ACTA issues

Composition operators on Fock type spaces

Kunyu Guo, Keiji Izuchi

Acta Sci. Math. (Szeged) 74:3-4(2008), 807-828
6047/2009

Abstract. Composition operators on Fock type spaces have simple forms, and they are just operators composed through linear functions. The purpose of this paper is to study basic problems and to give answers for composition operators on Fock type spaces concerning with spectra, cyclicity, hypercyclicity and invariant subspaces.


AMS Subject Classification (1991): 47B33, 32A37

Keyword(s): Fock type space, Composition operator, translation operator, invariant subspace


Received May 10, 2007, and in revised form February 26, 2008. (Registered under 6047/2009.)