TY - JOUR
ID - 69
TI - Some properties of continuous linear operators in topological vector PN-spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Ghaemi, M. B.
AU - Guillen, L.
AU - Saiedinezhad, S.
AD - Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran,
Iran.
AD - Departamento de Estadistica Ymatem'atica Aplicada,
Universidad de Almeria, e-04120, Spain
AD - Department of Mathematics Iran University of Science and Technology, Narmak, Tehran,
Iran.
Y1 - 2010
PY - 2010
VL - 1
IS - 1
SP - 58
EP - 64
KW - continuous linear map
KW - homomorphism
KW - Triangular function
KW - topological vector space
DO - 10.22075/ijnaa.2010.69
N2 - The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance. Probabilistic Metric space was introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are topological vector spaces and the open mapping and closed graph Theorems in this spaces are proved.
UR - https://ijnaa.semnan.ac.ir/article_69.html
L1 - https://ijnaa.semnan.ac.ir/article_69_090602b28d0b34c8ddacb4ce573ae443.pdf
ER -