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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Research

Title
WOVEN (WEAVING) FRAMES IN BANACH SPACES
Type
JournalPaper
Keywords
frame, woven frame, Banach frame, semi-inner product
Year
2021
Journal Kragujevac Journal of Mathematics
DOI
Researchers Asghar Rahimi ، Sara Basati ، Bayaz Daraby ، Firdous Ahmad Shah

Abstract

Banach frames are defined by the straightforward generalization of Hilbert space frames. Woven (weaving) frames are the recent generalization of standard frames which appeared in the applications of distributed signal processing. In this paper, we introduce the concepts of woven (weaving) Bessel and frame sequences in Banach spaces and characterize the woven frames in terms of bounded operators. We also give some equivalent conditions for woven Xd-frame in Banach spaces.