FRAME BESSELIAN-g DI RUANG HILBERT ( g-BESSELIAN FRAMES IN HILBERT SPACES )

HIDAYATIN, NUR, Atok Zulijanto

2016 | Disertasi | FMIPA

In this thesis we study on g-Besselian frames in Hilbert spaces as a generalization of Besselian frames in Hilbert spaces. First, we give the concepts and the properties of a frame, a Riesz basis, and a Besselian frame, and the relations between a frame, a Riesz basis, and a Besselian frame in Hilbert spaces. Furthermore we discuss about the properties of g-Besselian frames in Hilbert spaces. Finally, we consider the relations between a g-Besselian frame and a Besselian frame, and a g-Besselian frame and a g-frame in Hilbert spaces.

Kata Kunci : N