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Research articles

ScienceAsia 45 (2019): 380-387 |doi: 10.2306/scienceasia1513-1874.2019.45.380

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