On R-duals and the duality principle in Banach frames. Issue 6 (26th April 2021)

• Record Type: Journal Article
• Authors: Hashemi Sanati, S.; Asgari, M. S.
• Is Part Of: Applicable analysis. Volume 100:Issue 6(2021)
• Page Start: 1256
• Page End: 1271
• Publication Date: 2021-04-26
• Subjects: Banach frame -- g-framing -- Xd-Riesz basis -- Riesz-dual sequence; Primary: 46B45 -- 46B15 -- Secondary:42C15; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1639044
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: In this paper, we derive a connection between the Riesz-dual sequences with respect to a BK-space and framings in Banach spaces. Also, we define the concept of g-framing for Banach spaces and we consider the stability of framings and g-framings. In particular, we give some conditions under which a pair of Riesz-dual sequences to be a g-framing.