University of Qom Measure Algebras and Applications 3116-014X 2 1 2024 08 20 Characterization of frames in terms of R-duals in separable Hilbert spaces ساختارسازی قاب‌ها بر حسب R-دوگان‌ها در فضاهای هیلبرت جدایی ‌پذیر 92 103 2975 10.22091/maa.2024.10714.1019 EN Farkhondeh Takhteh Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran 0000-0002-1543-6400 Journal Article 2024 03 24 In this paper, we consider the concept of R-duality with respect to Riesz bases. In particular, we study the concept of R-duality with respect to Riesz bases, constructed by anti-linear operators, for Bessel sequences. Using these anti-linear operators, we give some characterizations for frames and Riesz bases. Hilbert space frame R-dual Riesz basis https://maa.qom.ac.ir/article_2975_928796af75066bd09365efa309bcc989.pdf