@article { author = {Raisi Tousi, Reihaneh and Kamyabi Gol, Rajab Ali and Avazzadeh, Hosein}, title = {On a New G-Frame and Duality}, journal = {Wavelet and Linear Algebra}, volume = {5}, number = {1}, pages = {1-9}, year = {2018}, publisher = {Vali-e-Asr university of Rafsanjan}, issn = {2383-1936}, eissn = {2476-3926}, doi = {10.22072/wala.2017.51870.1089}, abstract = {We introduce a new g-frame (singleton g-frame), g-orthonormal basis and g-Riesz basis and study corresponding notions in some other generalizations of frames.Also, we investigate duality  for some kinds of g-frames. Finally, we illustrate an example which provides a  suitable translation from discrete frames to Sun's g-frames.}, keywords = {Singleton g-frame operator,Dual of a singleton g-frame,Singleton g-Riesz basis,Singleton g-orthonormal basis}, url = {https://wala.vru.ac.ir/article_26091.html}, eprint = {https://wala.vru.ac.ir/article_26091_28688f4eb210f2627bfedfc3f1f7ebd4.pdf} }