@article { author = {Mahmoudieh, Mohammad and Hosseinnezhad, Hessam and Abbaspour Tabadkan, Gholamreza}, title = {Some properties of controlled K-frames in Hilbert spaces}, journal = {Wavelet and Linear Algebra}, volume = {7}, number = {1}, pages = {47-56}, year = {2020}, publisher = {Vali-e-Asr university of Rafsanjan}, issn = {2383-1936}, eissn = {2476-3926}, doi = {10.22072/wala.2020.119701.1266}, abstract = {    In this paper, we reintroduce the concept of controlled K-frames and then, we show that this definition is equivalentwith the concept that has been recently introduced in \cite{Nouri}. Meanwhile, we correctone of the results which was obtained in the mentioned paper. In the sequel, we construct some new controlled K-framesby some operator theory tools. Finally, we provide some conditions under which the sum of two controlled K-frames remainsa controlled K-frame.}, keywords = {Frames,K-frames,Controlled K-frames}, title_fa = {Some properties of controlled K-frames in Hilbert spaces}, abstract_fa = {}, keywords_fa = {}, url = {https://wala.vru.ac.ir/article_46687.html}, eprint = {https://wala.vru.ac.ir/article_46687_5d3f1512ef576770bc813de5eada83ff.pdf} }