التفاصيل البيبلوغرافية
| العنوان: |
ON WEAVING PG-FRAMES. |
| المؤلفون: |
Sharma, S. K., Goel, Shashank, Kaushik, S. K. |
| المصدر: |
Palestine Journal of Mathematics; 2023, Vol. 12 Issue 3, p170-179, 10p |
| مصطلحات موضوعية: |
WEAVING, WEAVING patterns, BANACH spaces, HILBERT space, DISTRIBUTED computing |
| مستخلص: |
Recently, a new application of frame theory in Hilbert spaces has been emerged related to distributed signal processing. Bemrose et al. [4] have developed a theory of weaving frames to handle such types of problems. In this article, we introduce and study woven pg-frames for Banach spaces. It has been shown that a family of pg-Bessel sequences is always woven Bessel family. The image of woven pg-frame under a bounded invertible operator is a woven pg-frame has been proved. Also, a necessary and sufficient condition for the image of woven pg-frame under a bounded operator to be a woven pg-frame has been given. Further, some characterizations of woven pg-frames and characterization of woven pg-Bessel sequences are given. Furthermore, woven qg-Riesz bases are defined and prove that these are particular cases of woven pg-frames. Finally, some equivalent conditions for woven qg-Riesz basis are given. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
