Research articles
ScienceAsia (): 380-387 |doi:
10.2306/scienceasia1513-1874...380
New equalities and inequalities of K-g-frames in
subspaces
Xiang-Chun Xiaoa,*, Guo-Rong Zhoua, Yu-Can Zhub
ABSTRACT: In this paper, we present new types of equalities and inequalities for K-g-frames in Hilbert spaces. Our
equalities and inequalities for K-g-frames are different from previous ones for g-frames or fusion frames, owing to the
fact that the bounded linear operator K and a parameter λ are involved, and thus allowing several known results to be
derivable from our results by proper choices of K and λ.
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| a |
Department of Mathematics, Xiamen University of Technology, Xiamen 361024, China |
| b |
Department of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China |
* Corresponding author, E-mail: xxc570@163.com
Received 4 Sep 2018, Accepted 27 Aug 2019
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