Continuous Riesz bases in Hilbert C*-modules
Hadi Ghasemi, Tayebe Lal Shateri
TL;DR
This paper introduces the concept of continuous Riesz bases within Hilbert C*-modules, expanding the theoretical framework of frames and bases in operator algebra contexts.
Contribution
It defines continuous Riesz bases for Hilbert C*-modules and provides foundational results about their properties and structure.
Findings
Introduction of continuous Riesz bases in Hilbert C*-modules
Establishment of basic properties and results for these bases
Extension of frame theory in the context of operator algebras
Abstract
The paper is devoted to continuous frames and Riesz bases in Hilbert C*-modules. we define a continuous Riesz basis for Hilbert C*-modules and give some results about them.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Medical Imaging Techniques and Applications