Continuous k -Frames and their Dual in Hilbert Spaces

The notion of k-frames was recently introduced by G\u avru\c ta in Hilbert  spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous super positions. In this manuscript, we construct a continuous k-frame, so called ck-frame along with an atomic system for this version of frames. Also we introduce a new method for obtaining the dual of a ck-frame and prove some new results about it.

کلیدواژه ها:

c-frame ، K-frame ، cK-frame ، ck-atom ، ck-dual