TY - JOUR A2 - Secchi, Simone AU - Guo, Xunxiang PY - 2013 DA - 2013/10/30 TI - Operator Characterizations and Some Properties of -Frames on Hilbert Spaces SP - 931367 VL - 2013 AB - Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-frames, and g-Riesz bases in terms of the g-preframe operators. Then we consider the transformations of g-frames, normalized tight g-frames, and g-Riesz bases, which are induced by operators and characterize them in terms of the operators. Finally, we discuss the sums and g-dual frames of g-frames by applying the results of characterizations. SN - 2314-8896 UR - https://doi.org/10.1155/2013/931367 DO - 10.1155/2013/931367 JF - Journal of Function Spaces and Applications PB - Hindawi Publishing Corporation KW - ER -