$K$-$b$-Frames for Hilbert Spaces and the $b$-Adjoint Operator

$K$-$b$-Frames for Hilbert Spaces and the $b$-Adjoint Operator

This paper will generalize $b$-frames, a new concept of frames for Hilbert spaces, by $K$-$b$-frames. The idea is to take a sequence from a Banach space and see how it can be a frame for a Hilbert space. Instead of the scalar product, we will use a new product called the $b$-dual product, which is c...

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Bibliographic Details
Main Authors: Chaimae Mezzat, Samir Kabbaj
Format: Article
Language:English
Published: University of Maragheh 2024-10-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
b-frames
k-b-frames
b-adjoint
hilbert space
sesquilinear form
Online Access:https://scma.maragheh.ac.ir/article_713024_0d90f228ed533eeb3746d7183c505bfe.pdf
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https://scma.maragheh.ac.ir/article_713024_0d90f228ed533eeb3746d7183c505bfe.pdf

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