Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 950234, 17 pages
doi:10.1155/2009/950234
Research Article

Compact Operators Defined on 2-Normed and 2-Probabilistic Normed Spaces

Fatemeh Lael1 and Kourosh Nourouzi1,2

1Department of Mathematics, K. N. Toosi University of Technology, P.O. Box 15875-4416, Tehran, Iran
2School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

Received 25 February 2009; Accepted 5 June 2009

Academic Editor: Alexander P. Seyranian

Copyright © 2009 Fatemeh Lael and Kourosh Nourouzi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The compact operators defined on 2-normed spaces are investigated, and then the main ideas are generalized to operators defined on 2-probabilistic normed spaces.