عنوان Controlled K-frames in Hilbert Spaces عنوان مجله The Journal of Ramanujan society of Mathematics and Mathematical Sciences نوع پژوهش مقاله چاپ شده کلیدواژهها Frame, Bessel sequence, Controlled frame, K-frame, Atomic system. چکیده K-frames were recently introduced by L. Gavruta in Hilbert spaces to study atomic systems with respect to bounded linear operator. Also controlled frames have been recently introduced by P. Balazs in Hilbert spaces to improve the numerical eciency of interactive algorithms for inverting the frame operator. In this manuscript, we will dene the concept of the controlled K-frames and will show that controlled K-frames are equivalent to K-frames and so the controlled operator C can be used as preconditions in applications. پژوهشگران اصغررحیمی (نفر دوم)، شهرامنجف زاده (نفر سوم)، محمدنوری (نفر اول)