Probabilistic norm of operators and resonance theorems

Authors
Xiao, JZ Zhu, XH
Citation
Jz. Xiao et Xh. Zhu, Probabilistic norm of operators and resonance theorems, APP MATH ME, 20(7), 1999, pp. 781-788
Citations number
11
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
20
Issue
7
Year of publication
1999
Pages
781 - 788
Database
ISI
SICI code
0253-4827(199907)20:7<781:PNOOAR>2.0.ZU;2-8
Abstract
In this paper, a simplified definition of boundedness of the sets in probab ilistic normed linear space was introduced. By means of the probabilistic n orm of linear operators, the linear operator theory on probabilistic normed linear space was further studied. On probabilistic normed linear operator space, some resonance theorems dealing with probabilistic bounded sets, pro babilistic semi-bounded sets, and probabilistic non-unbounded sets are obta ined.