شماره ركورد كنفرانس :
3502
عنوان مقاله :
G-orthonormal Basis and g-Riesz Basis in Hilbert spaces
Author/Authors :
S. M Ramezani Department of Mathematics - Shahid Bahonar University , Akbar Nazari Department of Mathematics - Shahid Bahonar University
كليدواژه :
Hilbert space , g-orthonormal basis , g-orthonormal system , g-Riesz basis , g-Bessel sequence
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
The orthonormal bases are widely used in mathematics and many other areas where one needs to represent elements in terms of the basis elements. In this paper, we introduced g-orthonormal system and give some equivalent conditions for a g-orthonormal system {£j}j∈J to be a g-orthonormal basis and characterize all g-Riesz bases.
