TY - JOUR ID - Gheondea2016 LB - Gheondea2016 AU - Gheondea, Aurelian TI - On locally Hilbert spaces ST - On locally Hilbert spaces JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2016 VL - 36 IS - 6 SP - 735 EP - 747 DO - http://dx.doi.org/10.7494/OpMath.2016.36.6.735 UR - http://dx.doi.org/10.7494/OpMath.2016.36.6.735 AB - This is an investigation of some basic properties of strictly inductive limits of Hilbert spaces, called locally Hilbert spaces, with respect to their topological properties, the geometry of their subspaces, linear functionals and dual spaces. KW - locally Hilbert space KW - inductive limit KW - projective limit KW - orthocomplemented subspaces KW - linear functional KW - dual spaces SN - 1232-9274 ER -