Open AccessOn approximately dual frames for Hilbert C*-modules
Author(s) -
Ljiljana Arambašić
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1912869a
Subject(s) - mathematics , dual (grammatical number) , frame (networking) , scalar (mathematics) , hilbert space , pure mathematics , algebra over a field , geometry , computer science , linguistics , telecommunications , philosophy
In this paper we discuss approximately dual frames for a frame or an outer frame of a Hilbert C*-module. We show that every frame or an outer frame, up to a scalar multiple, is approximately dual to itself. This enables us to get a canonical dual frame of a given frame (xn)n as a limit of approximately dual frames defined by (xn)n.