%0 Journal Article
%T On Bounded Linear Operations in b-Hilbert Spaces and their Numerical Ranges
%A Firoozeh Hasanvand
%A Mahnaz Khanehgir
%J Asian Journal of Fuzzy and Applied Mathematics
%D 2015
%X In this paper, we introduce the notions of b-bounded linear operator, b-numericalrange and b-numerical radius in a b-Hilbert space and describe some of their properties. Thenwe will show that this new numerical range (radius) can be considered as a usual numericalrange (radius) in a Hilbert space, so it shares many useful properties with numerical range(radius)
%K [bounded linear operator
%K b-Hilbert space
%K 2-inner product space
%K 2-normed space
%K numerical range
%K numerical radius.]
%U https://www.ajouronline.com/index.php/AJFAM/article/view/2875