Open AccessSymmetric continuous linear functionals on complex space $L_\infty[0,1]$
Author(s) -
Taras Vasylyshyn
Publication year - 2014
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.6.1.8-10
Subject(s) - mathematics , space (punctuation) , pure mathematics , computer science , operating system
We prove that every symmetric continuous linear functional on the complex space $L_\infty[0,1]$ can be represented as a Lebesgue integral multiplied by a constant.