On approximately dual frames for Hilbert C*-modules

izvorni znanstveni rad

izvorni znanstveni rad

On approximately dual frames for Hilbert C*-modules

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2019
Časopis Filomat
Nadređena publikacija Filomat
Volumen 33
Svesčić 12
Stranice str. 3869-3875
DOI 10.2298/FIL1912869A
ISSN 0354-5180
EISSN 2406-0933
Status objavljeno

Sažetak

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 as a limit of approximately dual frames defined by the initial frame.

Ključne riječi

C*-algebra ; Hilbert C*-module ; frame ; outer frame ; dual frame ; approximately dual frame