G-frames for operators in Hilbert spaces
سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 306
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شناسه ملی سند علمی:
JR_SCMA-8-1_001
تاریخ نمایه سازی: 15 اردیبهشت 1397
چکیده مقاله:
K-frames as a generalization of frames were introduced by L. G avrut a to study atomic systems on Hilbert spaces which al- lows, in a stable way, to reconstruct elements from the range of the bounded linear operator K in a Hilbert space. Recently some generalizations of this concept are introduced and some of its di er- ence with ordinary frames are studied. In this paper, we give a new generalization of K-frames. After proving some characterizations of generalized K-frames, new results are investigated and some new perturbation results are established. Finally, we give several char- acterizations of K-duals.
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