Opuscula Math. 25, no. 1 (2005), 139-148
A note on inductive limit model of Bargmann space of infinite order
Abstract. It is shown that the generalized creation and annihilation operators on Bargmann space of infinite order in a direction \(a=(a_1,a_2,\ldots) \in l^2\) are inductive limits of the creation and annihilation operator acting on Bargmann space of \(n\)-th order.
Keywords: Hilbert space, Bargmann space, creation operator, annihilation operator, inductive limit.
Mathematics Subject Classification: 47B38, 47B37, 47A80.