On $K$-pseudoframes for subspaces

Authors : Hamide AZARMİ, Mohammad JANFADA, Rajab Ali KAMYABİ-GO

Pages : 1057-1066

Doi:10.15672/hujms.647209

View : 14 | Download : 6

Publication Date : 2020-06-02

Article Type : Research Paper

Abstract :In this paper, the concept of $K$-pseudoframes for subspaces of Hilbert spaces, as a generalization of both $K$-frames and pseudoframes, is introduced and some of their properties and their characterizations are investigated. Next, duals of $K$-pseudoframes are discussed. Finally, the concept of pseudoatomic system is introduced and its relations with $K$-pseudoframe are studied.
Keywords : K pseudoframe, K pseudoatomic system, K exact pseudoframe