Opuscula Mathematica
Opuscula Math. 25, no. 1 (2005), 139-148

A note on inductive limit model of Bargmann space of infinite order

Jerzy Stochel
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.
Full text (pdf)
About the authors ▼
Jerzy Stochel
AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland
About the article ▼
Received: 2004-05-10.
Cite this article as ▼
Jerzy Stochel, A note on inductive limit model of Bargmann space of infinite order, Opuscula Math. 25, no. 1 (2005), 139-148, http://dx.doi.org/10.7494/OpMath.2005.25.1.139.
Download this article's citation as: