[PDF][PDF] On K-atomic decompositions in Banach Spaces
KT Poumai, S Jahan - Electronic Journal of Mathematical Analysis …, 2018 - journals.ekb.eg
KT Poumai, S Jahan
Electronic Journal of Mathematical Analysis and Applications. EJMAA, 2018•journals.ekb.egL. Gavruta [9] first introduced frames for an operator K called K-frames in Hilbert spaces. In
this paper, we define K-atomic decompositions for Banach spaces and obtain various results
related to the existence of K-atomic decompositions. Also, we discuss several methods for
constructing K-atomic decompositions together with perturbation results for K-atomic
decompositions.
this paper, we define K-atomic decompositions for Banach spaces and obtain various results
related to the existence of K-atomic decompositions. Also, we discuss several methods for
constructing K-atomic decompositions together with perturbation results for K-atomic
decompositions.
Abstract
L. Gavruta [9] first introduced frames for an operator K called K-frames in Hilbert spaces. In this paper, we define K-atomic decompositions for Banach spaces and obtain various results related to the existence of K-atomic decompositions. Also, we discuss several methods for constructing K-atomic decompositions together with perturbation results for K-atomic decompositions.
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