WOVEN b-FRAMES IN HILBERT SPACES

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.