Equivalence frames and their duals in Hilbert spaces
Azadeh Alijani, Zohreh Rahbani

Theory of frames has very applications to various areas of science and engineering. The paper presents all duals of a constructed frame that is obtained by an operator and a primary frame. By two frames and their frame operators, a frame is given that has an identify frame operator. Moreover, a relation between ordinary duals and operator duals is given. Finally, an equation is introduced for pre-frame operator of a given frame and pre-frame operator of its operator dual.

Full Text: PDF     DOI: 10.15640/arms.v3n2a7