A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(17)30095-4
Abstract: Abstract In this paper, we investigate a new perturbation theorem for the Moore-Penrose metric generalized inverses of a bounded linear operator in Banach space. The main tool in this paper is “the generalized Neumann lemma”… read more here.
Keywords: moore penrose; penrose metric; bounded linear; perturbation ... See more keywords
Some Conditions and Perturbation Theorem of Irregular Wavelet/Gabor Frames in Sobolev Space
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DOI: 10.1155/2024/9932668
Abstract: Due to its potential applications in image restoration and deep convolutional neural networks, the study of irregular frames has interested some researchers. This paper addresses irregular wavelet systems (IWSs) and irregular Gabor systems (IGSs) in… read more here.
Keywords: sobolev space; perturbation theorem; gabor; irregular wavelet ... See more keywords