Duals‎, ‎approximate duals and pseudo-duals of generalized frames in Hilbert C*-modules

The present paper considers duals‎, ‎approximate duals and pseudo-duals of generalized frames in Hilbert C*-modules‎. ‎In particular‎, ‎the ones constructed by bounded operators inserted between the synthesis and analysis operators of a Bessel sequence are focused and characterized‎. ‎Moreover‎, ‎the mentioned notions for modular g-Riesz bases are studied and some of their properties are obtained.

کلیدواژه ها:

Hilbert C*-module‎ ، ‎Generalized frame‎ ، ‎Modular g-Riesz basis‎ ، ‎‎Approximate dual‎ ، ‎Pseudo-dual