TY - JOUR
ID - 514236
TI - G-Frames, g-orthonormal bases and g-Riesz bases
JO - Journal of Linear and Topological Algebra ( JLTA )
JA - JLTA
LA - en
SN - 2252-0201
AU - S. Karimizad, S.
AD - Department of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, Tehran, Iran
Y1 - 2013
PY - 2013
VL - 02
IS - 01
SP - 25
EP - 33
KW - G-frames
KW - G-Bessel sequences
KW - G-orthonormal bases
DO -
N2 - G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection betweenÂ g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a boundedÂ operator.
UR - http://jlta.iauctb.ac.ir/article_514236.html
L1 - http://jlta.iauctb.ac.ir/article_514236_f51fb20a99740375e57204585ff2e228.pdf
ER -