On locally Hilbert spaces

Opuscula Mathematica

Aurelian Gheondea¹ 

[1] Bilkent University, Department of Mathematics, 06800 Bilkent, Ankara, Turkey;

关键词: locally Hilbert space;    inductive limit;    projective limit;    orthocomplemented subspaces;    linear functional;    dual spaces;   

DOI  :  http://dx.doi.org/10.7494/OpMath.2016.36.6.735

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown