Document Type : Research Paper
Author
Department of Basic Sciences, Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran.
Abstract
This paper is devoted to introduce a new concept of bases for the range of the operator $K$. Actually, we consider controlled $K$-orthonormal and controlled $K$-Riesz bases which are a generalization of ordinary bases in Hilbert spaces. In the sequel, we give some characterizations of these sequences. Next, we construct some new controlled bases with operator theory tools. Finally, some dual characterizations are given.
Keywords
Main Subjects
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