Title of article :
*-frames for operators on Hilbert modules
Author/Authors :
Janfada, Mohammad Department of Pure Mathematics - Ferdowsi University of Mashhad - Mashhad, Islamic Republic of Iran , Dastouriana, Bahram Department of Pure Mathematics - Ferdowsi University of Mashhad - Mashhad, Islamic Republic of Iran
Abstract :
K-frames which are generalization of frames on Hilbert spaces,
were introduced to study atomic systems with respect to a bounded
linear operator. In this paper, -K-frames on HilbertC-modules,
as a generalization of K-frames, are introduced and some of
their properties are obtained. Then some relations between -Kframes
and -atomic systems with respect to an adjointable operator
are considered and some characterizations of -K-frames
are given. Finally perturbations of -K-frames are discussed
Keywords :
C*- module , * - frame Hilbert , K-frame
Journal title :
Astroparticle Physics
