# Search results

Acta Mathematica Sinica, English Series > 2019 > 35 > 11 > 1827-1840

*g*-frames and the set of dilations of pairs of dual

*g*-frames of a given

*g*-frame. In particular, for the dilations of a given pair of dual

*g*-frames, we introduce the concept of joint complementary

*g*-frames and prove that the joint complementary

*g*-frames of a pair of dual

*g*-frames are unique in the sense...

Bulletin of the Iranian Mathematical Society > 2019 > 45 > 4 > 1091-1104

Journal of Inequalities and Applications > 2018 > 2018 > 1 > 1-13

Results in Mathematics > 2018 > 73 > 2 > 1-19

SpringerPlus > 2016 > 5 > 1 > 1-8

Acta Mathematica Scientia > 2014 > 34 > 3 > 639-652

Applied Mathematics Letters > 2012 > 25 > 11 > 1601-1607

Journal of Mathematical Analysis and Applications > 2011 > 374 > 1 > 201-209

Journal of Mathematical Analysis and Applications > 2010 > 363 > 2 > 399-408

Acta Mathematica Sinica, English Series > 2010 > 26 > 11 > 2117-2130

Acta Mathematica Sinica, English Series > 2009 > 25 > 12 > 2093-2106

*A*and

*B*of the g-frame, the g-frame operator

*S*and the pre-frame operator

*Q*and give a necessary and sufficient condition for a g-frame with bounds

*A*and

*B*in a complex Hilbert space. We also introduce the definition of a g-frame sequence and obtain a necessary and sufficient condition for a g-frame sequence with bounds

*A*and

*B*...

Acta Mathematica Sinica, English Series > 2008 > 24 > 10 > 1727-1736

*Q*for the g-frame in a complex Hilbert space, which will play a key role in studying g-frames and g-Riesz bases etc. Using the pre-frame operator

*Q*, we give some necessary and sufficient conditions for a g-Bessel sequence, a g-frame, and a g-Riesz basis in a complex Hilbert space, which have properties similar to those of the Bessel sequence, frame,...