Title of article :
On a New G-Frame and Duality
Author/Authors :
Raisi Tousi, R Department of Mathematics - Ferdowsi University of Mashhad , Kamyabi Gol, R.A Department of Mathematics - Ferdowsi University of Mashhad - Islamic Republic of Iran - Centre of Excellence in Analysis on Algebraic Structures , Avazzadeh, S.H Department of Mathematics - Ferdowsi University of Mashhad
Abstract :
We introduce a new g-frame (singleton g-frame), g-orthonormal
basis and g-Riesz basis and study corresponding notions in some
other generalizations of frames. Also, we investigate duality for
some kinds of g-frames. Finally, we illustrate an example which
provides a suitable translation from discrete frames to Sun’s gframes.
Keywords :
Singleton g-frame operator , Dual of a singleton g-frame , Singleton g-Riesz basis , Singleton g-orthonormal basis
Journal title :
Astroparticle Physics
