WOVEN b-FRAMES IN HILBERT SPACES

Authors

  • El Houcine Ouahidi Laboratory Analysis, Geometry and Applications, University of Ibn Tofail
  • Mohamed Rossafi Laboratory Analysis, Geometry and Applications, Higher School of Education and Training, University of Ibn Tofail

Abstract

This paper aims to study woven b-frames, which are a generalization of woven frames in Hilbert spaces, where the frames in Hilbert spaces generated by the bilinear mappingare considered. The b-frame operator is defined, and the conditions for the existence ofa b-frame in Hilbert spaces are obtained. We will define woven, weaving b-frames and woven,weaving K-b-frames and present initial results. We will also study and explore the stability and preservation of both woven and weaving K-b-frames.

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Published

2025-08-29

Issue

Volume 30, Number 3, September 2025

Section

Articles