TY - JOUR
ID - 19784
TI - Menger probabilistic normed space is a category topological vector space
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Sadeqi, Ildar
AU - Yaqub Azari, Farnaz
AD - Department of Mathematics, Faculty of Science, Sahand University of Technology, Tabriz, Iran.
AD - University of Payame noor, Tabriz, Iran.
Y1 - 2016
PY - 2016
VL - 03
IS - 2
SP - 25
EP - 32
KW - Category of probabilistic normed space
KW - Category of topological vector space
KW - Fuzzy continuous operator
DO -
N2 - In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces in probabilistic normed spaces.
UR - https://scma.maragheh.ac.ir/article_19784.html
L1 - https://scma.maragheh.ac.ir/article_19784_ea968e7794474539e5edcca66c4af05b.pdf
ER -