@article{oai:ynu.repo.nii.ac.jp:00006867, author = {Zalar, Borut}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Hilbert triple systems were introduced into mathematics because of the role they play in a certain part of infinite-dimensional geometry. In this paper we describe the bases for the theory of nonassociative Hilbert triple systems from the algebraic and functional analytic point of view. In the last section we give a new elementary proof that every simple associative Hilbert triple system is isomorphic either to the triple of Hilbert-Schmidt operators or to its negative.}, pages = {95--126}, title = {THEORY OF HILBERT TRIPLE SYSTEMS}, volume = {41}, year = {1994} }