@article{oai:ynu.repo.nii.ac.jp:00006673, author = {Bhatt, Subhashj.}, issue = {1}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, In the context of unbounded representation theory, representable functionals on a star algebra are introduced and are characterized as extendable functionals. This gives faithful representations of certain star algebras as $op*$-algebras. Every representation of a pseudo-complete hermitian locally convex *algebra is shown to be essentially selfadjoint. Also proved that a Generalized $B^{*}.algebra$ (without identity) admits a bounded approximate identity which yields the representability of very positive functional.}, pages = {7--16}, title = {REPRESENTABILITY OF POSITIVE FUNCTIONALS ON ABSTRACT STAR ALGEBRAS WITHOUT IDENTITY WITH APPLICATIONS TO LOCALLY CONVEX *ALGEBRAS}, volume = {29}, year = {1981} }