Yu-Can Zhu
Abstract
A g-orthonormal basis is the generalization of an orthonormal basis in Hilbert spaces.In this paper,we first discuss the existence of the g-orthogonal basis,then compare the g-orthonormal basis with g-frame,and finally,use them to build the g-frame and g-Riesz basis.
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A g-orthonormal basis is the generalization of an orthonormal basis in Hilbert spaces.In this paper,we first discuss the existence of the g-orthogonal basis,then compare the g-orthonormal basis with g-frame,and finally,use them to build the g-frame and g-Riesz basis.
Key concepts: Orthonormal basis, Basis (linear algebra), Hilbert space, Orthogonal basis, Generalization, Mathematics, Frame (networking), Pure mathematics