About Schauder frames and besselian Schauder frames of Banach spaces
Rafik Karkri, Hicham Zoubeir

TL;DR
This paper introduces new concepts of besselian pairs and besselian Schauder frames in separable Banach spaces, establishing fundamental theoretical results about their properties.
Contribution
It presents novel definitions and foundational results for besselian pairs and Schauder frames in Banach spaces, expanding the theoretical framework.
Findings
Introduction of besselian pairs and Schauder frames
Proven fundamental properties of these new notions
Extended the theoretical understanding of Banach space frames
Abstract
In this paper, we introduce, for a separable Banach spacea new notion of besselian paires and of besselian Schauder frames for which we prove for some fundamental results.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research · Holomorphic and Operator Theory
